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Scattering, Random Phase and Wave Turbulence Commun. Math. Phys. (IF 2.4) Pub Date : 2024-04-18 Erwan Faou, Antoine Mouzard
We start from the remark that in wave turbulence theory, exemplified by the cubic two-dimensional Schrödinger equation (NLS) on the real plane, the regularity of the resonant manifold is linked with dispersive properties of the equation and thus with scattering phenomena. In contrast with classical analysis starting with a dynamics on a large periodic box, we propose to study NLS set on the real plane
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Chaos in Stochastic 2d Galerkin-Navier–Stokes Commun. Math. Phys. (IF 2.4) Pub Date : 2024-04-16 Jacob Bedrossian, Sam Punshon-Smith
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Phase Space Mixing of a Vlasov Gas in the Exterior of a Kerr Black Hole Commun. Math. Phys. (IF 2.4) Pub Date : 2024-04-16 Paola Rioseco, Olivier Sarbach
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Structure of Relatively Biexact Group von Neumann Algebras Commun. Math. Phys. (IF 2.4) Pub Date : 2024-04-16 Changying Ding, Srivatsav Kunnawalkam Elayavalli
Using computations in the bidual of \({\mathbb {B}}(L^2M)\) we develop a new technique at the von Neumann algebra level to upgrade relative proper proximality to full proper proximality. This is used to structurally classify subalgebras of \(L\Gamma \) where \(\Gamma \) is an infinite group that is biexact relative to a finite family of subgroups \(\{\Lambda _i\}_{i\in I}\) such that each \(\Lambda
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BPS Dendroscopy on Local $$\mathbb {P}^2$$ Commun. Math. Phys. (IF 2.4) Pub Date : 2024-04-16 Pierrick Bousseau, Pierre Descombes, Bruno Le Floch, Boris Pioline
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Baxter Operators in Ruijsenaars Hyperbolic System IV: Coupling Constant Reflection Symmetry Commun. Math. Phys. (IF 2.4) Pub Date : 2024-04-16 Nikita Belousov, Sergey Derkachov, Sergey Kharchev, Sergey Khoroshkin
We introduce and study a new family of commuting Baxter operators in the Ruijsenaars hyperbolic system, different from that considered by us earlier. Using a degeneration of Rains integral identity we verify the commutativity between the two families of Baxter operators and explore this fact for the proof of the coupling constant symmetry of the wave function. We also establish a connection between
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Nearest-Neighbour Correlation Functions for the Supersymmetric XYZ Spin Chain and Painlevé VI Commun. Math. Phys. (IF 2.4) Pub Date : 2024-04-09 Christian Hagendorf, Hjalmar Rosengren
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Symplectic Geometry of Character Varieties and SU(2) Lattice Gauge Theory I Commun. Math. Phys. (IF 2.4) Pub Date : 2024-04-09 T. R. Ramadas
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Stability Threshold of the 2D Couette Flow in a Homogeneous Magnetic Field Using Symmetric Variables Commun. Math. Phys. (IF 2.4) Pub Date : 2024-04-09 Michele Dolce
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Oscillator Representations of Quantum Affine Orthosymplectic Superalgebras Commun. Math. Phys. (IF 2.4) Pub Date : 2024-04-09 Jae-Hoon Kwon, Sin-Myung Lee, Masato Okado
We introduce a category of q-oscillator representations over the quantum affine superalgebras of type D and construct a new family of its irreducible representations. Motivated by the theory of super duality, we show that these irreducible representations naturally interpolate the irreducible q-oscillator representations of type \(X_n^{(1)}\) and the finite-dimensional irreducible representations of
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Persistent Non-statistical Dynamics in One-Dimensional Maps Commun. Math. Phys. (IF 2.4) Pub Date : 2024-04-09 Douglas Coates, Stefano Luzzatto
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2D Dilaton Gravity and the Weil–Petersson Volumes with Conical Defects Commun. Math. Phys. (IF 2.4) Pub Date : 2024-04-09 Lorenz Eberhardt, Gustavo J. Turiaci
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Quantum Talagrand, KKL and Friedgut’s Theorems and the Learnability of Quantum Boolean Functions Commun. Math. Phys. (IF 2.4) Pub Date : 2024-04-09 Cambyse Rouzé, Melchior Wirth, Haonan Zhang
We extend three related results from the analysis of influences of Boolean functions to the quantum setting, namely the KKL theorem, Friedgut’s Junta theorem and Talagrand’s variance inequality for geometric influences. Our results are derived by a joint use of recently studied hypercontractivity and gradient estimates. These generic tools also allow us to derive generalizations of these results in
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An Optimal Minimization Problem in the Lowest Landau Level and Related Questions Commun. Math. Phys. (IF 2.4) Pub Date : 2024-04-09 Valentin Schwinte
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Higher Dimensional Analogon of Borcea-Voisin Calabi-Yau Manifolds, Their Hodge Numbers and L-Functions Commun. Math. Phys. (IF 2.4) Pub Date : 2024-04-09 Dominik Burek
We construct a series of examples of Calabi-Yau manifolds in an arbitrary dimension and compute the main invariants. In particular, we give higher dimensional generalization of Borcea-Voisin Calabi-Yau threefolds. We give a method to compute a local zeta function using the Frobenius morphism for orbifold cohomology introduced by Rose. We compute Hodge numbers of the constructed examples using orbifold
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Orthogonal Polynomial Duality and Unitary Symmetries of Multi-species ASEP $$(q,\varvec{\theta })$$ and Higher-Spin Vertex Models via $$^*$$ -Bialgebra Structure of Higher Rank Quantum Groups Commun. Math. Phys. (IF 2.4) Pub Date : 2024-04-09 Chiara Franceschini, Jeffrey Kuan, Zhengye Zhou
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Features of a Spin Glass in the Random Field Ising Model Commun. Math. Phys. (IF 2.4) Pub Date : 2024-04-09 Sourav Chatterjee
A longstanding open question in the theory of disordered systems is whether short-range models, such as the random field Ising model or the Edwards–Anderson model, can indeed have the famous properties that characterize mean-field spin glasses at nonzero temperature. This article shows that this is at least partially possible in the case of the random field Ising model. Consider the Ising model on
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Algebraic Conditions for Conformal Superintegrability in Arbitrary Dimension Commun. Math. Phys. (IF 2.4) Pub Date : 2024-03-20 Jonathan Kress, Konrad Schöbel, Andreas Vollmer
We consider second order (maximally) conformally superintegrable systems and explain how the definition of such a system on a (pseudo-)Riemannian manifold gives rise to a conformally invariant interpretation of superintegrability. Conformal equivalence in this context is a natural extension of the classical (linear) Stäckel transform, originating from the Maupertuis-Jacobi principle. We extend our
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Global Hyperbolicity through the Eyes of the Null Distance Commun. Math. Phys. (IF 2.4) Pub Date : 2024-03-19 Annegret Burtscher, Leonardo García-Heveling
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Positive Representations with Zero Casimirs Commun. Math. Phys. (IF 2.4) Pub Date : 2024-03-19
Abstract In this paper, we construct a new family of generalization of the positive representations of split-real quantum groups based on the degeneration of the Casimir operators acting as zero on some Hilbert spaces. It is motivated by a new observation arising from modifying the representation in the simplest case of \(\mathcal {U}_q(\mathfrak {sl}(2,\mathbb {R}))\) compatible with Faddeev’s modular
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Gaussian Fluctuations for the Stochastic Burgers Equation in Dimension $$d\ge 2$$ Commun. Math. Phys. (IF 2.4) Pub Date : 2024-03-19 Giuseppe Cannizzaro, Massimiliano Gubinelli, Fabio Toninelli
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Kirillov–Reshetikhin Modules and Quantum K-matrices Commun. Math. Phys. (IF 2.4) Pub Date : 2024-03-18
Abstract From a quantum K-matrix of a fundamental representation of any quantum affine algebra, we construct one for the Kirillov–Reshetikhin module by fusion construction. Using the \(\imath \) crystal theory by the last author, we also obtain combinatorial K-matrices corresponding to the symmetric tensor representations of affine type A for all quasi-split Satake diagrams.
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On the TAP Equations via the Cavity Approach in the Generic Mixed p-Spin Models Commun. Math. Phys. (IF 2.4) Pub Date : 2024-03-18 Wei-Kuo Chen, Si Tang
In 1977, Thouless, Anderson, and Palmer (TAP) derived a system of consistent equations in terms of the effective magnetization in order to study the free energy in the Sherrington–Kirkpatrick (SK) spin glass model. The solutions to their equations were predicted to contain vital information about the landscapes in the SK Hamiltonian and the TAP free energy and moreover have direct connections to Parisi’s
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Extrema of 3D Potts Interfaces Commun. Math. Phys. (IF 2.4) Pub Date : 2024-03-16 Joseph Chen, Eyal Lubetzky
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Single-Shot Decoding of Good Quantum LDPC Codes Commun. Math. Phys. (IF 2.4) Pub Date : 2024-03-14 Shouzhen Gu, Eugene Tang, Libor Caha, Shin Ho Choe, Zhiyang He, Aleksander Kubica
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K-theoretic Classification of Inductive Limit Actions of Fusion Categories on AF-algebras Commun. Math. Phys. (IF 2.4) Pub Date : 2024-03-14 Quan Chen, Roberto Hernández Palomares, Corey Jones
We introduce a K-theoretic invariant for actions of unitary fusion categories on unital \({\textrm{C}}^*\)-algebras. We show that for inductive limits of finite dimensional actions of fusion categories on AF-algebras, this is a complete invariant. In particular, this gives a complete invariant for inductive limit actions of finite groups on unital AF-algebras. We apply our results to obtain a classification
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Global Solutions with Asymptotic Self-Similar Behaviour for the Cubic Wave Equation Commun. Math. Phys. (IF 2.4) Pub Date : 2024-03-14 Thomas Duyckaerts, Giuseppe Negro
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$$G_2$$ -instantons on Resolutions of $$G_2$$ -orbifolds Commun. Math. Phys. (IF 2.4) Pub Date : 2024-03-13 Daniel Platt
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Dynamical Localization for Random Band Matrices Up to $$W\ll N^{1/4}$$ Commun. Math. Phys. (IF 2.4) Pub Date : 2024-03-13 Giorgio Cipolloni, Ron Peled, Jeffrey Schenker, Jacob Shapiro
We prove that a large class of \(N\times N\) Gaussian random band matrices with band width W exhibits dynamical Anderson localization at all energies when \(W \ll N^{1/4}\). The proof uses the fractional moment method (Aizenman and Molchanov in Commun Math Phys 157(2):245–278, 1993. https://projecteuclid.org/journals/communications-in-mathematical-physics/volume-157/issue-2/Localizationat-large-di
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Small Data Solutions for the Vlasov–Poisson System with a Repulsive Potential Commun. Math. Phys. (IF 2.4) Pub Date : 2024-03-13 Anibal Velozo Ruiz, Renato Velozo Ruiz
In this paper, we study small data solutions for the Vlasov–Poisson system with the simplest external potential, for which unstable trapping holds for the associated Hamiltonian flow. We prove sharp decay estimates in space and time for small data solutions to the Vlasov–Poisson system with the repulsive potential \(\frac{-|x|^2}{2}\) in dimension two or higher. The proofs are obtained through a commuting
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Random Quantum Circuits Transform Local Noise into Global White Noise Commun. Math. Phys. (IF 2.4) Pub Date : 2024-03-12 Alexander M. Dalzell, Nicholas Hunter-Jones, Fernando G. S. L. Brandão
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The Proper Landau–Ginzburg Potential, Intrinsic Mirror Symmetry and the Relative Mirror Map Commun. Math. Phys. (IF 2.4) Pub Date : 2024-03-12 Fenglong You
Given a smooth log Calabi–Yau pair (X, D), we use the intrinsic mirror symmetry construction to define the mirror proper Landau–Ginzburg potential and show that it is a generating function of two-point relative Gromov–Witten invariants of (X, D). We compute certain relative invariants with several negative contact orders, and then apply the relative mirror theorem of Fan et al. (Sel Math (NS) 25(4):
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Global Finite-Energy Solutions of the Compressible Euler–Poisson Equations for General Pressure Laws with Large Initial Data of Spherical Symmetry Commun. Math. Phys. (IF 2.4) Pub Date : 2024-03-12 Gui-Qiang G. Chen, Feimin Huang, Tianhong Li, Weiqiang Wang, Yong Wang
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Stability of Regularized Hastings–Levitov Aggregation in the Subcritical Regime Commun. Math. Phys. (IF 2.4) Pub Date : 2024-03-06 James Norris, Vittoria Silvestri, Amanda Turner
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Adiabatic Evolution of Low-Temperature Many-Body Systems Commun. Math. Phys. (IF 2.4) Pub Date : 2024-03-06 Rafael L. Greenblatt, Markus Lange, Giovanna Marcelli, Marcello Porta
We consider finite-range, many-body fermionic lattice models and we study the evolution of their thermal equilibrium state after introducing a weak and slowly varying time-dependent perturbation. Under suitable assumptions on the external driving, we derive a representation for the average of the evolution of local observables via a convergent expansion in the perturbation, for small enough temperatures
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Off-shell Partition Functions in 3d Gravity Commun. Math. Phys. (IF 2.4) Pub Date : 2024-03-06 Lorenz Eberhardt
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Geometric Positivity of the Fusion Products of Unitary Vertex Operator Algebra Modules Commun. Math. Phys. (IF 2.4) Pub Date : 2024-03-04 Bin Gui
A unitary and strongly rational vertex operator algebra (VOA) \({\mathbb {V}}\) is called strongly unitary if all irreducible \({\mathbb {V}}\)-modules are unitarizable. A strongly unitary VOA \({\mathbb {V}}\) is called completely unitary if for each unitary \({\mathbb {V}}\)-modules \({\mathbb {W}}_1,{\mathbb {W}}_2\) the canonical non-degenerate Hermitian form on the fusion product \({\mathbb {W}}_1\boxtimes
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The GHP Scaling Limit of Uniform Spanning Trees in High Dimensions Commun. Math. Phys. (IF 2.4) Pub Date : 2024-03-04 Eleanor Archer, Asaf Nachmias, Matan Shalev
We show that the Brownian continuum random tree is the Gromov–Hausdorff–Prohorov scaling limit of the uniform spanning tree on high-dimensional graphs including the d-dimensional torus \({\mathbb {Z}}_n^d\) with \(d>4\), the hypercube \(\{0,1\}^n\), and transitive expander graphs. Several corollaries for associated quantities are then deduced: convergence in distribution of the rescaled diameter, height
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The Irreducibility of the Monodromy Representation Associated with the Dotsenko–Fateev Equation Commun. Math. Phys. (IF 2.4) Pub Date : 2024-03-04 Katsuhisa Mimachi
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Rigid Surface Operator and Symbol Invariant of Partitions Commun. Math. Phys. (IF 2.4) Pub Date : 2024-03-02
Abstract The symbol is used to describe the Springer correspondence for the classical groups by Lusztig. We refine the explanation that the S-duality maps of the rigid surface operators are symbol preserving maps. And we find that the maps \(X_S\) and \(Y_S\) used in the construction of S-duality maps are essentially the same. We clear up cause of the mismatch problem of the total number of the rigid
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Matrix Valued Discrete–Continuous Functions with the Prolate Spheroidal Property and Bispectrality Commun. Math. Phys. (IF 2.4) Pub Date : 2024-02-27 W. Riley Casper, F. Alberto Grünbaum, Milen Yakimov, Ignacio Zurrián
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S-Duality and the Universal Isometries of Instanton Corrected q-Map Spaces Commun. Math. Phys. (IF 2.4) Pub Date : 2024-02-27
Abstract Given a conical affine special Kähler manifold together with a compatible mutually local variation of BPS structures, one can construct a quaternionic-Kähler (QK) manifold. We call the resulting QK manifold an instanton corrected c-map space. Our main aim is to study the isometries of a subclass of instanton corrected c-map spaces associated to projective special real manifolds with a compatible
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Cyclification of Orbifolds Commun. Math. Phys. (IF 2.4) Pub Date : 2024-02-27
Abstract Inertia orbifolds homotopy-quotiented by rotation of geometric loops play a fundamental role not only in ordinary cyclic cohomology, but more recently in constructions of equivariant Tate-elliptic cohomology and generally of transchromatic characters on generalized cohomology theories. Nevertheless, existing discussion of such cyclified stacks has been relying on ad-hoc component presentations
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The Lower Tail of q-pushTASEP Commun. Math. Phys. (IF 2.4) Pub Date : 2024-02-26 Ivan Corwin, Milind Hegde
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On the Extensions of the Left Modules for a Meromorphic Open-String Vertex Algebra, I Commun. Math. Phys. (IF 2.4) Pub Date : 2024-02-26 Fei Qi
We study the extensions of two left modules \(W_1, W_2\) for a meromorphic open-string vertex algebra V. We show that the extensions satisfying some technical but natural convergence conditions are in bijective correspondence to the first cohomology classes associated to the V-bimodule \({{\mathcal {H}}}_N(W_1, W_2)\) constructed in Huang and Qi (The first cohomology, derivations and the reductivity
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John–Nirenberg Inequalities for Noncommutative Column BMO and Lipschitz Martingales Commun. Math. Phys. (IF 2.4) Pub Date : 2024-02-26 Guixiang Hong, Congbian Ma, Yu Wang
In this paper, we continue the study of John–Nirenberg theorems for BMO/Lipschitz spaces in the noncommutative martingale setting. As conjectured from the classical case, a desired noncommutative “stopping time" argument was discovered to obtain the distribution function inequality form of John–Nirenberg theorem. This not only provides another approach without using duality and interpolation to the
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Multifractal Analysis of Measures Arising from Random Substitutions Commun. Math. Phys. (IF 2.4) Pub Date : 2024-02-24 Andrew Mitchell, Alex Rutar
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Topological Strings on Non-commutative Resolutions Commun. Math. Phys. (IF 2.4) Pub Date : 2024-02-24 Sheldon Katz, Albrecht Klemm, Thorsten Schimannek, Eric Sharpe
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One-Step Replica Symmetry Breaking of Random Regular NAE-SAT II Commun. Math. Phys. (IF 2.4) Pub Date : 2024-02-23 Danny Nam, Allan Sly, Youngtak Sohn
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The Wave Maps Equation and Brownian Paths Commun. Math. Phys. (IF 2.4) Pub Date : 2024-02-23 Bjoern Bringmann, Jonas Lührmann, Gigliola Staffilani
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Stokes Waves at the Critical Depth are Modulationally Unstable Commun. Math. Phys. (IF 2.4) Pub Date : 2024-02-23 Massimiliano Berti, Alberto Maspero, Paolo Ventura
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The Ground State Energy of a Two-Dimensional Bose Gas Commun. Math. Phys. (IF 2.4) Pub Date : 2024-02-23 Søren Fournais, Theotime Girardot, Lukas Junge, Leo Morin, Marco Olivieri
We prove the following formula for the ground state energy density of a dilute Bose gas with density \(\rho \) in 2 dimensions in the thermodynamic limit $$\begin{aligned} e^{\text {2D}}(\rho ) = 4\pi \rho ^2 Y\Big (1 - Y \vert \log Y \vert + \Big ( 2\Gamma + \frac{1}{2} + \log (\pi ) \Big ) Y \Big ) + o(\rho ^2 Y^{2}), \end{aligned}$$ as \(\rho a^2 \rightarrow 0\). Here \(Y= |\log (\rho a^2)|^{-1}\)
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On the Distribution of Heat in Fibered Magnetic Fields Commun. Math. Phys. (IF 2.4) Pub Date : 2024-02-23 Theodore D. Drivas, Daniel Ginsberg, Hezekiah Grayer
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Wave Propagation on Rotating Cosmic String Spacetimes Commun. Math. Phys. (IF 2.4) Pub Date : 2024-02-23 Jared Wunsch, Katrina Morgan
A rotating cosmic string spacetime has a singularity along a timelike curve corresponding to a one-dimensional source of angular momentum. Such spacetimes are not globally hyperbolic: they admit closed timelike curves near the string. This presents challenges to studying the existence of solutions to the wave equation via conventional energy methods. In this work, we show that semi-global forward solutions
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Speiser Meets Misiurewicz Commun. Math. Phys. (IF 2.4) Pub Date : 2024-02-22 Magnus Aspenberg, Weiwei Cui
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A Green’s Function Proof of the Positive Mass Theorem Commun. Math. Phys. (IF 2.4) Pub Date : 2024-02-20 Virginia Agostiniani, Lorenzo Mazzieri, Francesca Oronzio
In this paper, a new proof of the Positive Mass Theorem is established through a newly discovered monotonicity formula, holding along the level sets of the Green’s function of an asymptotically flat 3-manifolds. In the same context and for \(1
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Quantum Theory in Finite Dimension Cannot Explain Every General Process with Finite Memory Commun. Math. Phys. (IF 2.4) Pub Date : 2024-02-20 Marco Fanizza, Josep Lumbreras, Andreas Winter
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Covariant Quantum Combinatorics with Applications to Zero-Error Communication Commun. Math. Phys. (IF 2.4) Pub Date : 2024-02-20 Dominic Verdon
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Homological Quantum Rotor Codes: Logical Qubits from Torsion Commun. Math. Phys. (IF 2.4) Pub Date : 2024-02-20 Christophe Vuillot, Alessandro Ciani, Barbara M. Terhal
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Exactly Solvable Anharmonic Oscillator, Degenerate Orthogonal Polynomials and Painlevé II Commun. Math. Phys. (IF 2.4) Pub Date : 2024-02-20 M. Bertola, E. Chavez-Heredia, T. Grava