Date: Wed, 29 Nov 17 01:20:18 GMT Subject: math-ph daily 7 new + 14 crosses received by eprepget ------------------------------------------------------------------------------ ------------------------------------------------------------------------------ Send any comments regarding submissions directly to submitter. ------------------------------------------------------------------------------ Archives at http://arxiv.org/ To unsubscribe, e-mail To: math-ph@arXiv.org, Subject: cancel ------------------------------------------------------------------------------ received by eprepget from Mon 27 Nov 17 19:00:00 GMT to Tue 28 Nov 17 19:00:00 GMT ------------------------------------------------------------------------------ \\ arXiv:1711.09997 Date: Mon, 27 Nov 2017 21:01:35 GMT (15kb) Title: Quantum Kac's Chaos Authors: George Androulakis, Rade Musulin Categories: math-ph math.DS math.MP MSC-class: 81Q50, 35Q83, 37K99 \\ We study the notion of quantum Kac's chaos which was implicitly introduced by Spohn and explicitly formulated by Gottlieb. We prove the analogue of a result of Sznitman which gives the equivalence of Kac's chaos to 2-chaoticity and to convergence of empirical measures. Finally we give a simple, different proof of a result of Spohn which states that chaos propagates with respect to certain Hamiltonians that define the evolution of the mean field limit for interacting quantum systems. \\ ( https://arxiv.org/abs/1711.09997 , 15kb) ------------------------------------------------------------------------------ \\ arXiv:1711.10083 Date: Tue, 28 Nov 2017 01:50:00 GMT (398kb,D) Title: Rayleigh-Bloch waves trapped by a periodic perturbation: exact solutions Authors: A. Merzon, P. Zhevandrov, M.I. Romero Rodr\'iguez, J.E. De la Paz M\'endez Categories: math-ph math.MP Comments: 11 pages, 1 figure \\ Exact solutions describing the Rayleigh-Bloch waves for the two-dimensional Helmholtz equation are constructed in the case when the refractive index is a sum of a constant and a small amplitude function which is periodic in one direction and of finite support in the other. These solutions are quasiperiodic along the structure and exponentially decay in the orthogonal direction. A simple formula for the dispersion relation of these waves is obtained. \\ ( https://arxiv.org/abs/1711.10083 , 398kb) ------------------------------------------------------------------------------ \\ arXiv:1711.10181 Date: Tue, 28 Nov 2017 08:53:27 GMT (11kb) Title: Two-dimensional non commutative Swanson model and its bicoherent states Authors: Fabio Bagarello, Francesco Gargano, Salvatore Spagnolo Categories: math-ph math.MP quant-ph \\ We introduce an extended version of the Swanson model, defined on a two-dimensional non commutative space, which can be diagonalized exactly by making use of pseudo-bosonic operators. Its eigenvalues are explicitly computed and the biorthogonal sets of eigenstates of the Hamiltonian and of its adjoint are explicitly constructed. We also show that it is possible to construct two displacement-like operators from which a family of bi-coherent states can be obtained. These states are shown to be eigenstates of the deformed lowering operators, and their projector allows to produce a suitable resolution of the identity in a dense subspace of $\Lc^2(\Bbb R^2)$. \\ ( https://arxiv.org/abs/1711.10181 , 11kb) ------------------------------------------------------------------------------ \\ arXiv:1711.10197 Date: Tue, 28 Nov 2017 09:26:18 GMT (14kb) Title: A semi-discrete Boltzmann equation based on a finite volume scheme Authors: Armando Majorana Categories: math-ph math.MP MSC-class: 76P, 82C40 (Primary), 65M60 (Secondary) \\ In this work we consider the classical non-linear Boltzmann equation, where the unknown is the distribution function $f$, which depends on the time $t$, the vector $\mathbf{x}$ (the position of a molecule) and its velocity $\mathbf{\xi}$. From the Boltzmann equation we derive a semi-discrete model, which consists in a set of partial differential equations in time and space. The new unknowns are two moments of the distribution function $f$ and, according to a finite volume scheme, integrals of $f$ with respect to the velocity $\mathbf{\xi}$, over bounded and open sets. We do not introduce any approximation for the partial derivatives with respect to $\mathbf{x}$ and the time $t$. We also propose the use of truncated octahedra as bounded domains of integration. This reduces both the computing complexity and the number of the constant numerical coefficients arising from the collision operator. All the numerical parameters can be obtained by means of numerical quadrature. \\ ( https://arxiv.org/abs/1711.10197 , 14kb) ------------------------------------------------------------------------------ \\ arXiv:1711.10200 Date: Tue, 28 Nov 2017 09:34:27 GMT (25kb) Title: N-body problem with contact interactions Authors: Gianfausto Dell'Antonio Categories: math-ph math.MP \\ We introduce \emph{contact interactions hamiltonians} (self-adjointoperators defined by boundary conditions) between $N$ massive particles in $R^3$, $N \geq 3$. We prove that they are limits (in strong resolvent sense) when $ \epsilon \to 0$ of interaction through a two-body potential which scales according to $ V_\epsilon (|x|) =\epsilon ^{-\frac {3 }{2 }} V ( \frac {|x|}{ \epsilon} )$ where $ V(|x|) $ is an integrable function. The advantage of the formalism of contact interactions is that the results do not depend on the shape of the approximating potentials. Depending on the masses and symmetries there may be three body bound states with wave function localized near the barycenter and less localized four-body bound states. For some range of masses there is an infinity of bound states with energies which accumulate geometrically to zero (Efimov effect). For contact interactions these are all the bound states which can be present in the $N$-body system. We study of zero range hamiltonians by first compactly embedding the physical space $ L^2(R^{3 (N-1)}) $ in a larger Hilbert space of more singular functions (Krein space) Estimates are done in the auxiliary space, where strong resolvent convergence when $ \epsilon \to 0$ and spectral properties are easily established. If the hamiltonian \emph{in Krein space} is positive, coming back to $L^2 (R^{3N})$ is done using the compactness of the Krein map and the fact that for positive forms weak convergence implies strong convergence. If it is not positive we use a somewhat more sophisticated operation, $ \Gamma-$convergence [Dal]. In both cases the limit operator is unique. \\ ( https://arxiv.org/abs/1711.10200 , 25kb) ------------------------------------------------------------------------------ \\ arXiv:1711.10357 Date: Mon, 27 Nov 2017 09:21:52 GMT (19kb) Title: On a Boltzmann equation for Haldane statistics Authors: L. Arkeryd and A. Nouri Categories: math-ph cond-mat.quant-gas math.MP Comments: 24 pages. arXiv admin note: text overlap with arXiv:1406.0265 MSC-class: 82C10, 82C22, 82C40 \\ The study of quantum quasi-particles at low temperatures including their statistics, is a frontier area in modern physics. In a seminal paper F.D. Haldane proposed a definition based on a generalization of the Pauli exclusion principle for fractional quantum statistics. The present paper is a study of quantum quasi-particles obeying Haldane statistics in a fully non-linear kinetic Boltzmann equation model with large initial data on a torus. Strong L1 solutions are obtained for the Cauchy problem. The main results concern existence, uniqueness and stability. Depending on the space dimension and the collision kernel, the results obtained are local or global in time. \\ ( https://arxiv.org/abs/1711.10357 , 19kb) ------------------------------------------------------------------------------ \\ arXiv:1711.10438 Date: Tue, 28 Nov 2017 17:59:03 GMT (103kb) Title: On the universality of the distribution of the eigenvalues of Wigner random matrices in the bulk of the spectrum Authors: Anastasia A. Ruzmaikina Categories: math-ph math.MP math.PR \\ In this paper we consider Wigner random matrices -- symmetric n by n random matrices whose entries are independent identically distributed real random variables. We prove that the probability distribution of one or several eigenvalues close to the center of the spectrum does not depend on the probability distribution of the entries of the matrix and is the same as for the Gaussian Orthogonal Ensemble. We make only mild smoothness assumptions on the probability distribution of the entries and assume that the probability distribution of the entries decays polynomially with sufficiently large power or faster than polynomially. \\ ( https://arxiv.org/abs/1711.10438 , 103kb) %-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%- ------------------------------------------------------------------------------ \\ arXiv:1711.09909 (*cross-listing*) Date: Mon, 27 Nov 2017 19:00:02 GMT (779kb) Title: Theory of channel simulation and bounds for private communication Authors: Stefano Pirandola, Samuel L. Braunstein, Riccardo Laurenza, Carlo Ottaviani, Thomas P. W. Cope, Gaetana Spedalieri, and Leonardo Banchi Categories: quant-ph cond-mat.other math-ph math.MP physics.optics Comments: Review paper which also contains new results. REVTeX. 27 pages. 2 tables and 3 figures \\ We review recent results on the simulation of quantum channels, the reduction of adaptive protocols (teleportation stretching), and the derivation of converse bounds for quantum and private communication, as established in PLOB [Pirandola, Laurenza, Ottaviani, Banchi, arXiv:1510.08863]. We start by introducing a general weak converse bound for private communication based on the relative entropy of entanglement. We discuss how combining this bound with channel simulation and teleportation stretching, PLOB established the two-way quantum and private capacities of several fundamental channels, including the bosonic lossy channel. We then provide a rigorous proof of the strong converse property of these bounds and capacities by adopting a correct energy-constrained use of the Braunstein-Kimble teleportation protocol for the simulation of bosonic Gaussian channels. This analysis provides a full justification of claims presented in the follow-up paper WTB [Wilde, Tomamichel, Berta, arXiv:1602.08898] whose upper bounds for Gaussian channels would be otherwise infinitely large. Besides clarifying contributions in the area of channel simulation and protocol reduction, we also present some generalizations of the tools to other entanglement measures and novel results on the maximum excess noise which is tolerable in quantum key distribution. \\ ( https://arxiv.org/abs/1711.09909 , 779kb) ------------------------------------------------------------------------------ \\ arXiv:1711.09930 (*cross-listing*) Date: Mon, 27 Nov 2017 19:04:54 GMT (18kb) Title: Teleparallel theories of gravity as analogue of non-linear electrodynamics Authors: Manuel Hohmann, Laur J\"arv, Martin Kr\v{s}\v{s}\'ak, Christian Pfeifer Categories: gr-qc hep-th math-ph math.MP Comments: 12 pages, no figures \\ The teleparallel formulation of gravity theories reveals close structural analogies to electrodynamics, which are more hidden in their usual formulation in terms of the curvature of spacetime. We show how every locally Lorentz invariant teleparallel theory of gravity with second order field equations can be understood as built from a gravitational field strength and excitation tensor which are related to each other by a constitutive relation, analogous to the axiomatic construction of theories of electrodynamics. We demonstrate how the previously studied models of $f(\mathbb{T})$ and $f(T_\text{ax},T_\text{ten},T_\text{vec})$ gravity as well as teleparallel dark energy can be formulated in this language. The advantage of this approach to gravity is that the field equations for different models all take the same compact form and general results can be obtained. An important new such result we find is a constraint which relates the field equations of the tetrad and the spin connection. \\ ( https://arxiv.org/abs/1711.09930 , 18kb) ------------------------------------------------------------------------------ \\ arXiv:1711.09941 (*cross-listing*) Date: Mon, 27 Nov 2017 19:27:16 GMT (47kb,D) Title: Ryu-Takayanagi Formula for Symmetric Random Tensor Networks Authors: Goffredo Chirco, Daniele Oriti, Mingyi Zhang Categories: hep-th gr-qc math-ph math.MP quant-ph Comments: 10 pages, 4 figures \\ We consider the special case of Random Tensor Networks (RTN) endowed with gauge symmetry constraints on each tensor. We compute the R\`enyi entropy for such states and recover the Ryu-Takayanagi (RT) formula in the large bond regime. The result provides first of all an interesting new extension of the existing derivations of the RT formula for RTNs. Moreover, this extension of the RTN formalism brings it in direct relation with (tensorial) group field theories (and spin networks), and thus provides new tools for realizing the tensor network/geometry duality in the context of background independent quantum gravity, and for importing quantum gravity tools in tensor network research. \\ ( https://arxiv.org/abs/1711.09941 , 47kb) ------------------------------------------------------------------------------ \\ arXiv:1711.09945 (*cross-listing*) Date: Mon, 27 Nov 2017 19:31:58 GMT (499kb,D) Title: Integrable time-dependent quantum Hamiltonians Authors: Nikolai A. Sinitsyn, Emil A. Yuzbashyan, Vladimir Y. Chernyak, Aniket Patra, and Chen Sun Categories: quant-ph cond-mat.mes-hall math-ph math.MP Comments: 9 pages, 4 figures \\ We formulate a set of conditions under which dynamics of a time-dependent quantum Hamiltonian are integrable. The main requirement is the existence of a nonabelian gauge field with zero curvature in the space of system parameters. Known solvable multistate Landau-Zener models satisfy these conditions. Our method provides a strategy to incorporate time-dependence into various quantum integrable models, so that the resulting non-stationary Schrodinger equation is exactly solvable. We also validate some prior conjectures, including the solution of the driven generalized Tavis-Cummings model. \\ ( https://arxiv.org/abs/1711.09945 , 499kb) ------------------------------------------------------------------------------ \\ arXiv:1711.09950 (*cross-listing*) Date: Mon, 27 Nov 2017 19:48:05 GMT (11kb) Title: The number of independent Traces and Supertraces on the Symplectic Reflection Algebra $H_{1,\nu}(\Gamma \wr S_N)$ Authors: S.E. Konstein and I.V. Tyutin Categories: math.RT hep-th math-ph math.MP Comments: LaTeX 2e, 11 pages \\ Symplectic reflection algebra $ H_{1, \,\nu}(G)$ has a $T(G)$-dimensional space of traces whereas, when considered as a superalgebra with a natural parity, it has an $S(G)$-dimensional space of supertraces. The values of $T(G)$ and $S(G)$ depend on the symplectic reflection group $G$ and do not depend on the parameter $\nu$. In this paper, the values $T(G)$ and $S(G)$ are explicitly calculated for the groups $G= \Gamma \wr S_N$, where $\Gamma$ is a finite subgroup of $Sp(2,\mathbb C)$. \\ ( https://arxiv.org/abs/1711.09950 , 11kb) ------------------------------------------------------------------------------ \\ arXiv:1711.09963 (*cross-listing*) Date: Mon, 27 Nov 2017 20:13:16 GMT (17kb) Title: Systolic aspects of black hole entropy Authors: Nikolaos Kalogeropoulos Categories: gr-qc cond-mat.stat-mech hep-th math-ph math.MP Comments: 19 pages. No figures. LaTeX2e \\ We attempt to provide a mesoscopic treatment of the origin of black hole entropy in (3+1)-dimensional spacetimes. We ascribe this entropy to the non-trivial topology of the space-like sections $\Sigma$ of the horizon. This is not forbidden by topological censorship, since all the known energy inequalities needed to prove the spherical topology of $\Sigma$ are violated in quantum theory. We choose the systoles of $\Sigma$ to encode its complexity, which gives rise to the black hole entropy. We present hand-waving reasons why the entropy of the black hole can be considered as a function of the volume entropy of $\Sigma$. We focus on the limiting case of $\Sigma$ having a large genus. \\ ( https://arxiv.org/abs/1711.09963 , 17kb) ------------------------------------------------------------------------------ \\ arXiv:1711.10011 (*cross-listing*) Date: Mon, 27 Nov 2017 21:42:02 GMT (73kb) Title: K\"ahler metrics via Lorentzian Geometry in dimension four Authors: Amir Babak Aazami and Gideon Maschler Categories: math.DG math-ph math.MP Comments: 1 table MSC-class: 53C50 (Primary) 53C55, 83C60, 83C20 (Secondary) \\ Given a semi-Riemannian $4$-manifold $(M,g)$ with two distinguished vector fields satisfying properties determined by their shear, twist and various Lie bracket relations, a family of K\"ahler metrics $\gK$ is constructed, defined on an open set in $M$, which coincides with $M$ in many typical examples. Under certain conditions $g$ and $\gK$ share various properties, such as a Killing vector field or a vector field with a geodesic flow. The Ricci and scalar curvatures of $\gK$ are computed in some cases in terms of data associated to $g$. Many examples are described, including classical spacetimes in warped products, for instance de Sitter spacetime, as well as gravitational plane waves, metrics of Petrov type~$D$ such as Kerr and NUT metrics, and metrics for which $\gK$ is an SKR metric. For the latter an inverse ansatz is described, constructing $g$ from the SKR metric. \\ ( https://arxiv.org/abs/1711.10011 , 73kb) ------------------------------------------------------------------------------ \\ arXiv:1711.10034 (*cross-listing*) Date: Mon, 27 Nov 2017 23:11:25 GMT (902kb,D) Title: Reflection, transmutation, annihilation and resonance in two-component kink collisions Authors: A. Alonso-Izquierdo Categories: hep-th math-ph math.MP nlin.PS Comments: 6 pages, 7 figures \\ In this paper the study of collisions between kinks arising in the family of MSTB models is addressed. Phenomena such as elastic kink reflection, mutual annihilation, kink-antikink transmutation and inelastic reflection are found and depend on the impact velocity. \\ ( https://arxiv.org/abs/1711.10034 , 902kb) ------------------------------------------------------------------------------ \\ arXiv:1711.10049 (*cross-listing*) Date: Mon, 27 Nov 2017 23:52:14 GMT (342kb,D) Title: On the Essential Spectrum of Schr\"odinger Operators on Trees Authors: Jonathan Breuer, Latif Eliaz Categories: math.SP math-ph math.MP \\ It is known that the essential spectrum of a Schr\"odinger operator $H$ on $\ell^{2}\left(\mathbb{N}\right)$ is equal to the union of the spectra of right limits of $H$. The natural generalization of this relation to $\mathbb{Z}^{n}$ is known to hold as well. In this paper we study the possibility of generalizing this characterization of $\sigma_{ess}(H)$ to Schr\"odinger operators on regular trees. We give indications for the possible failure of the general statement in this case, while presenting a natural family of models where it still holds. \\ ( https://arxiv.org/abs/1711.10049 , 342kb) ------------------------------------------------------------------------------ \\ arXiv:1711.10053 (*cross-listing*) Date: Tue, 28 Nov 2017 00:01:53 GMT (23kb) Title: Quantum deformation of planar amplitudes Authors: Michael Movshev, Albert Schwarz Categories: hep-th math-ph math.MP math.QA \\ In maximally supersymmetric four-dimensional gauge theories planar on-shell diagrams are closely related to the positive Grassmannian and the cell decomposition of it into the union of so called positroid cells \cite{A}. We establish that volume forms on positroids used to express scattering amplitudes can be $q$-deformed to Hochschild homology classes of corresponding quantum algebras. The planar amplitudes are represented in \cite {A} as sums of contributions of some set of positroid cells; we quantize these contributions. In classical limit our considerations allow us to obtain explicit formulas for contributions of positroid cells to scattering amplitudes. \\ ( https://arxiv.org/abs/1711.10053 , 23kb) ------------------------------------------------------------------------------ \\ arXiv:1711.10081 (*cross-listing*) Date: Tue, 28 Nov 2017 01:46:27 GMT (25kb) Title: Convergence rates in expectation for a nonlinear backward parabolic equation with Gaussian white noise Authors: Erkan Nane and Nguyen Huy Tuan Categories: math.AP math-ph math.MP math.PR Comments: 29 pages, Submitted for publication MSC-class: 65N21, 35R30 \\ The main purpose of this paper is to study the problem of determining initial condition of nonlinear parabolic equation from noisy observations of the final condition. We introduce a regularized method to establish an approximate solution. We prove an upper bound on the rate of convergence of the mean integrated squared error. \\ ( https://arxiv.org/abs/1711.10081 , 25kb) ------------------------------------------------------------------------------ \\ arXiv:1711.10322 (*cross-listing*) Date: Fri, 24 Nov 2017 06:10:53 GMT (39kb) Title: Bound states of the $D$-dimensional Schr\"{o}dinger equation for the generalized Woods-Saxon potential Authors: V. H. Badalov, B. Baris and K. Uzun Categories: nucl-th math-ph math.MP Comments: 24 pages, 2 fugures, 2 tables. arXiv admin note: text overlap with arXiv:1501.02948 by other authors \\ In this paper, the approximate analitical solutions of the hyper-radial Schr\"{o}dinger equation are obtained for the generalized Wood-Saxon potential by implementing the Pekeris approximation to surmount the centrifugal term. The energy eigenvalues and corresponding hyper-radial wave functions are found for any angular momentum case via the Nikiforov-Uvarov (NU) and Supersymmetric quantum mechanics (SUSY QM) methods. Hence, the same expressions are obtained for the energy eigenvalues, and the expression of hyper-radial wave functions transformed each other is shown owing to these methods. Furthermore, a finite number energy spectrum depending on the depths of the potential well $V_{0}$ and $W$, the radial $n_{r}$ and $l$ orbital quantum numbers and parameters $D,a,R_{0}$ are also identified in detail. Finally, the bound state energies and the corresponding normalized hyper-radial wave functions for the neutron system of the a $^{56} Fe$ nucleus are calculated in $D=2$ and $D=3$, as well as the energy spectrum expressions of other highest dimensions are identified by using the energy spectrum of $D=2$ and $D=3$. \\ ( https://arxiv.org/abs/1711.10322 , 39kb) ------------------------------------------------------------------------------ \\ arXiv:1711.10426 (*cross-listing*) Date: Tue, 28 Nov 2017 17:38:50 GMT (413kb,D) Title: A fully-discrete scheme for systems of nonlinear Fokker-Planck-Kolmogorov equations Authors: Elisabetta Carlini and Francisco J. Silva Categories: math.NA math-ph math.MP Report-no: Roma01.Math.NA MSC-class: 35Q84, 65N12, 65N75 \\ We consider a system of Fokker-Planck-Kolmogorov (FPK) equations, where the dependence of the coefficients is nonlinear and nonlocal in time with respect to the unknowns. We extend the numerical scheme proposed and studied recently by the authors for a single FPK equation of this type. We analyse the convergence of the scheme and we study its applicability in two examples. The first one concerns a population model involving two interacting species and the second one concerns two populations Mean Field Games. \\ ( https://arxiv.org/abs/1711.10426 , 413kb) ------------------------------------------------------------------------------ \\ arXiv:1711.10466 (*cross-listing*) Date: Tue, 28 Nov 2017 18:53:23 GMT (9295kb,D) Title: Analytic sphere eversion with minimum of topological events Authors: Adam Bednorz and Witold Bednorz Categories: math.GT math-ph math.AG math.MP Comments: 28 pages, 13 figures, more information at http://www.fuw.edu.pl/~abednorz/eversion/ \\ Sphere eversions have been described so far by either pictures with minimal topological complexity, numerical evolution or complex equations. We write down relatively simple explicit formulas for the whole eversion, both analytic and topologically simpler, including also Boy surface (real projective plane). We show their usefulness in visualizing the process using commonly available modeling software. \\ ( https://arxiv.org/abs/1711.10466 , 9295kb) %%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%% ------------------------------------------------------------------------------ \\ arXiv:1606.07034 (*cross-listing*) replaced with revised version Tue, 28 Nov 2017 18:28:56 GMT (77kb,D) Title: The log-Sobolev inequality with quadratic interactions Authors: Ioannis Papageorgiou (UBA, Conicet) Categories: math.FA math-ph math.MP math.PR Comments: 42 pages MSC-class: 26D10, 82C22, 82B20, 35R03 \\ ( https://arxiv.org/abs/1606.07034 , 77kb) ------------------------------------------------------------------------------ \\ arXiv:1705.00730 (*cross-listing*) replaced with revised version Mon, 27 Nov 2017 19:20:58 GMT (432kb,D) Title: Exact Geodesic Distances in FLRW Spacetimes Authors: William J. Cunningham, David Rideout, James Halverson, and Dmitri Krioukov Categories: gr-qc astro-ph.CO math-ph math.MP Comments: 11 pages, 2 figures Journal-ref: Phys. Rev. D 96, 103538 (2017) DOI: 10.1103/PhysRevD.96.103538 \\ ( https://arxiv.org/abs/1705.00730 , 432kb) ------------------------------------------------------------------------------ \\ arXiv:1706.00390 (*cross-listing*) replaced with revised version Tue, 28 Nov 2017 12:32:53 GMT (74kb) Title: Coherence and entanglement measures based on R\'{e}nyi relative entropies Authors: Huangjun Zhu, Masahito Hayashi, and Lin Chen Categories: quant-ph math-ph math.MP Comments: 37 pages, 3 figures, published in J. Phys. A: Math. Theor Journal-ref: J. Phys. A: Math. Theor. 50, 475303 (2017) DOI: 10.1088/1751-8121/aa8ffc \\ ( https://arxiv.org/abs/1706.00390 , 74kb) ------------------------------------------------------------------------------ \\ arXiv:1706.08426 replaced with revised version Tue, 28 Nov 2017 08:20:18 GMT (41kb) Title: The Hawking-Penrose singularity theorem for $C^{1,1}$-Lorentzian metrics Authors: Melanie Graf, James D.E. Grant, Michael Kunzinger, Roland Steinbauer Categories: math-ph gr-qc math.DG math.MP Comments: 35 pages, minor typographical corrections, final version MSC-class: 83C75, 53B30 \\ ( https://arxiv.org/abs/1706.08426 , 41kb) ------------------------------------------------------------------------------ \\ arXiv:1707.00938 (*cross-listing*) replaced with revised version Tue, 28 Nov 2017 12:38:31 GMT (735kb,D) Title: Non-Abelian Strategies in Quantum Penny Flip Game Authors: Hiroaki Mishima Categories: quant-ph math-ph math.MP physics.soc-ph Comments: 11 pages, 2 figures \\ ( https://arxiv.org/abs/1707.00938 , 735kb) ------------------------------------------------------------------------------ \\ arXiv:1707.05149 (*cross-listing*) replaced with revised version Mon, 27 Nov 2017 20:01:42 GMT (26kb) Title: Integrable flows between exact CFTs Authors: George Georgiou and Konstantinos Sfetsos Categories: hep-th math-ph math.MP nlin.SI Comments: 1+27 pages, text improvements, version published in JHEP Report-no: CERN-TH-2017-148 \\ ( https://arxiv.org/abs/1707.05149 , 26kb) ------------------------------------------------------------------------------ \\ arXiv:1708.08548 (*cross-listing*) replaced with revised version Tue, 28 Nov 2017 12:10:18 GMT (1084kb,D) Title: Optimal secure quantum teleportation of coherent states of light Authors: Pietro Liuzzo-Scorpo, Gerardo Adesso Categories: quant-ph cond-mat.stat-mech math-ph math.MP physics.optics Comments: 10 pages, 2 figures. Published in Proceedings of SPIE Optics + Photonics 2017. Update: Eq. (24) corrected and some statements rectified Journal-ref: Proc. SPIE 10358, Quantum Photonic Devices, 103580V (2017/08/29) DOI: 10.1117/12.2272993 \\ ( https://arxiv.org/abs/1708.08548 , 1084kb) ------------------------------------------------------------------------------ \\ arXiv:1709.08291 (*cross-listing*) replaced with revised version Tue, 28 Nov 2017 00:38:46 GMT (8kb) Title: Hyperscaling for oriented percolation in 1+1 space-time dimensions Authors: Akira Sakai Categories: math.PR math-ph math.MP Comments: 9 pages MSC-class: 60K35, 82B27, 82B43, 82C27 \\ ( https://arxiv.org/abs/1709.08291 , 8kb) ------------------------------------------------------------------------------ \\ arXiv:1711.03456 (*cross-listing*) replaced with revised version Tue, 28 Nov 2017 18:05:10 GMT (8kb) Title: Slow Convergence in Generalized Central Limit Theorems Authors: Christoph B\"orgers and Claude Greengard Categories: math.PR math-ph math.MP Comments: We added the case L(n)->0 \\ ( https://arxiv.org/abs/1711.03456 , 8kb) %%%---%%%---%%%---%%%---%%%---%%%---%%%---%%%---%%%---%%%---%%%---%%%---%%%--- For subscribe options to combined physics archives, e-mail To: physics@arxiv.org, Subject: subscribe ----------------------------------------------------------------------------- For help on viewing and making submissions, see http://arxiv.org/help/