Generating functions for irreversible Hamiltonian systemsThe definition of conservative-irreversible functions is extended to smooth manifolds. The local representation of these functions is studied and reveals that not each conservative-irreversible…Dan Goreac, Jonas Kirchhoff, Bernhard Maschke·Apr 5, 2024SaveLearn
Combinatorial Dyson-Schwinger Equations of Quartic Matrix Field TheoryMatrix field theory is a combinatorially non-local field theory which has recently been found to be a non-trivial but solvable QFT example. To generalize such non-perturbative structures to other…Alexander Hock, Johannes Thürigen·Apr 4, 2024SaveLearn
Riemann-Hilbert problems, Toeplitz operators and ergosurfacesThe Riemann-Hilbert approach, in conjunction with the canonical Wiener-Hopf factorisation of certain matrix functions called monodromy matrices, enables one to obtain explicit solutions to the…M. Cristina Câmara, Gabriel Lopes Cardoso·Apr 4, 2024SaveLearn
Gibbs measures for hardcore-SOS models on Cayley treesWe investigate the finite-state p-solid-on-solid model, for p=∞, on Cayley trees of order k≥ 2 and establish a system of functional equations where each solution corresponds to a…Benedikt Jahnel, Utkir Rozikov·Apr 4, 2024SaveLearn
Average Nodal Count and the Nodal Count Condition for GraphsThe nodal edge count of an eigenvector of the Laplacian of a graph is the number of edges on which it changes sign. This quantity extends to any real symmetric n× n matrix supported on a graph…Lior Alon, John Urschel·Apr 4, 2024SaveLearn
Computing some Principal Value integrals without Residues and Applications on Hilbert Transform and Fourier TransformThis article proposes a new approach in the treatment of the Hilbert transform and some cases of the Fourier transform whose improper integrals are principal values. This approach may be useful for…Jorge Pedraza Arpasi·Apr 3, 2024SaveLearn
Structures associated with the Borromean rings complement in the Poincar\'e ballGuided by physical needs, we deal with the rotationally isotropic Poincar\'e ball, when considering the complement of Borromean rings embedded in it. We consistently describe the geometry of the…Anton A. Nazarenko, A. V. Nazarenko·Apr 3, 2024SaveLearn
On Hamiltonian Structures of Partial Difference EquationsWe first introduce the notion of Hamiltonian structure for a partial difference equation. Then we construct some infinite quivers, and realize the discrete KdV equation, the Hirota-Miwa equation and…Zhonglun Cao·Apr 2, 2024SaveLearn
Antiparticles in non-relativistic quantum mechanicsNon-relativistic quantum mechanics was originally formulated to describe particles. Using ideas from the geometric quantization approach, we show how the concept of antiparticles can and should be…Alexander D. Popov·Apr 2, 2024SaveLearn
On Strong Bounds for Trotter and Zeno Product Formulas with Bosonic ApplicationsThe Trotter product formula and the quantum Zeno effect are both indispensable tools for constructing time-evolutions using experimentally feasible building blocks. In this work, we discuss…Tim Möbus·Apr 1, 2024SaveLearn
Norms of wave functions for FQHE models on a torusThe goal of this paper is to give an explicit computation of the curvature of the magnetic vector bundle of the multi-layer model of the fractional quantum Hall effect on a torus. We also obtain…Igor Burban, Semyon Klevtsov·Apr 1, 2024SaveLearn
The split 5-Casimir operator and the structure of ad 5In the present paper, using the split Casimir operators we have found the decomposition of the antisymmetric part of ad 5. This decomposition contains the representations that…Alexey P. Isaev, Sergey O. Krivonos·Apr 1, 2024SaveLearn
Nonlinear ensemble filtering with diffusion models: Application to the surface quasi-geostrophic dynamicsThe intersection between classical data assimilation methods and novel machine learning techniques has attracted significant interest in recent years. Here we explore another promising solution in…Feng Bao, Hristo G. Chipilski, Siming Liang et al.·Apr 1, 2024SaveLearn
Functional Bethe Ansatz for a -Gordon model with real qRecently, Bazhanov and Sergeev have described an Ising-type integrable model which can be identified as a -Gordon-type model with an infinite number of states but with a real parameter q.…Sergey Sergeev·Mar 31, 2024SaveLearn
On Faddeev's EquationFaddeev' equations are a set-theoretical and an operator forms of the star-triangle equation. Known solutions of the quantum star-triangle equation, related to the Faddeev equations, are based on…Sergey Sergeev·Mar 30, 2024SaveLearn
Cell Escape Probabilities for Markov Processes on a GridKinetic equations describe physical processes in a high-dimensional phase space and are often simulated using Markov process-based Monte Carlo routines. The quantities of interest are typically…Toon Ingelaere, Vince Maes, Giovanni Samaey·Mar 30, 2024SaveLearn
Gluing formulae for heat kernelsWe state and prove two gluing formulae for the heat kernel of the Laplacian on a Riemannian manifold of the form M1 γ M2. We present several examples.Pavel Mnev, Konstantin Wernli·Mar 29, 2024SaveLearn
Study on a Quantization Condition and the Solvability of Schr\"odinger-type EquationsIn this thesis, we study a quantization condition in relation to the solvability of Schr\"odinger equations. This quantization condition is called the SWKB (supersymmetric…Yuta Nasuda·Mar 29, 2024SaveLearn
Designing Poisson Integrators Through Machine LearningThis paper presents a general method to construct Poisson integrators, i.e., integrators that preserve the underlying Poisson geometry. We assume the Poisson manifold is integrable, meaning there is…Miguel Vaquero, David Martín de Diego, Jorge Cortés·Mar 29, 2024SaveLearn
Quantum trajectory of the one atom maserThe evolution of a quantum system undergoing repeated indirect measurements naturally leads to a Markov chain on the set of states which is called a quantum trajectory. In this paper we consider a…Tristan Benoist, Laurent Bruneau, Clément Pellegrini·Mar 29, 2024SaveLearn
On Fractional Kinetic Equations Involving Srivastava PolynomialKinetic equations hold a very important place in physics and further their fractional generalization enhances the scope of their applicability and significance in describing the continuity of motion…Komal Prasad Sharma, Alok Bhargava, Omprakash Saini·Mar 29, 2024SaveLearn
Exact Solutions of Stochastic Burgers-KdV Equation with variable coefficientsWe will present exact solutions for three variations of stochastic Korteweg de Vries-Burgers (KdV-Burgers) equation featuring variable coefficients. In each variant, white noise exhibits spatial…Kolade Adjibi, Allan Martinez, Miguel Mascorro et al.·Mar 29, 2024SaveLearn
On the Hartree-Fock Ground State Manifold in Magic Angle Twisted Graphene SystemsRecent experiments have shown that magic angle twisted bilayer graphene (MATBG) can exhibit correlated insulator behavior at half-filling. Seminal theoretical results towards understanding this phase…Kevin D. Stubbs, Simon Becker, Lin Lin·Mar 29, 2024SaveLearn
Emerging Jordan blocks in the two-dimensional Potts and loop models at generic QIt was recently suggested -- based on general self-consistency arguments as well as results from the bootstrap (arXiv:2005.07708, arXiv:2007.11539, arXiv:2007.04190) -- that the CFT describing the…Lawrence Liu, Jesper Lykke Jacobsen, Hubert Saleur·Mar 28, 2024SaveLearn
A Fourier Inversion Theorem for Normal FunctionsWe prove an inversion theorem for the Fourier transform defined for normal functions, in the case when such functions are of moderate decrease, and in dimensions 2 and 3. This improves on Carleson's…Tristram de Piro·Mar 28, 2024SaveLearn