System of stochastic interacting wave functions that model quantum measurementsWe develop a system of non-linear stochastic evolution equations that describes the continuous measurements of quantum systems with mixed initial state. We address quantum systems with unbounded…Carlos M. Mora·Mar 19, 2025SaveLearn
Quasiparticle solutions to the 1D nonlocal Fisher--KPP equation with a fractal time derivative in the weak diffusion approximationIn this paper, we propose an approach for constructing quasiparticle-like asymptotic solutions within the weak diffusion approximation for the generalized population…A. V. Shapovalov, S. A. Siniukov·Mar 19, 2025SaveLearn
Special solutions of a discrete Painlev\'e equation for quantum minimal surfacesWe consider solutions of a discrete Painlev\'e equation arising from a construction of quantum minimal surfaces by Arnlind, Hoppe and Kontsevich, and in earlier work of Cornalba and Taylor on static…Peter A. Clarkson, Anton Dzhamay, Andrew N. W. Hone et al.·Mar 18, 2025SaveLearn
Local construction of knotted screw dislocations in smectic liquid crystalsThe goal of this work is to show that, mathematically, screw dislocation loops with distinct topological properties can be introduced locally on a given smectic liquid crystal configuration.…Robert Cardona, Andreu Vega·Mar 18, 2025SaveLearn
A new pair of transformations and applications to generalized informational inequalities and Hausdorff moment problemWe introduce a pair of transformations, which are mutually inverse, acting on rather general classes of probability densities in R. These transformations have the property of interchanging the main…Razvan Gabriel Iagar, David Puertas-Centeno·Mar 17, 2025SaveLearn
Scale-Dependent Suppression Functions and Functional Space Geometry in RenormalizationWe analyze the effects of a scale-dependent suppression function (k, ) on the functional space geometry in renormalization theory. By introducing a dynamical cutoff scale ,…Daniel Ketels·Mar 17, 2025SaveLearn
Resurgence in the Universal Structures in B-model Topological String TheoryWe propose a systematic analysis of Alim-Yau-Zhou's double scaling limit and Couso-Santamar\'ia's large radius limit for the perturbative free energies in B-model topological string theory based on…Yong Li, David Sauzin, Shanzhong Sun·Mar 17, 2025SaveLearn
Pfaffian solution for dark-dark soliton to the coupled complex modified Korteweg-de Vries equationIn this paper, we study coupled complex modified Korteweg-de Vries (ccmKdV) equation by combining the Hirota's method and the Kadomtsev-Petviashvili (KP) reduction method. First, we show that the…Chenxi Li, Xiaochuan Liu, Bao-Feng Feng·Mar 17, 2025SaveLearn
Stable homotopy theory of invertible gapped quantum spin systems I: Kitaev's -spectrumWe provide a mathematical realization of a conjecture by Kitaev, on the basis of the operator-algebraic formulation of infinite quantum spin systems. Our main results are threefold. First, we…Yosuke Kubota·Mar 16, 2025SaveLearn
Polarisation sets of Green operators for normally hyperbolic equationsThe polarisation set of a vector-valued distribution generalises the wavefront set and captures fibre-directional information about its singularities in addition to their phase space description.…Christopher J. Fewster·Mar 16, 2025SaveLearn
Hadamard states for decomposable Green-hyperbolic operatorsHadamard states were originally introduced for quantised Klein-Gordon fields and occupy a central position in the theory of quantum fields on curved spacetimes. Subsequently they have been developed…Christopher J. Fewster·Mar 16, 2025SaveLearn
Lyapunov exponent for quantum graphs that are elements of a subshift of finite typeWe consider the Schr\"odinger operator on the quantum graph whose edges connect the points of Z. The numbers of the edges connecting two consecutive points n and n+1 are read along the…Oleg Safronov·Mar 14, 2025SaveLearn
Topological edge states of continuous HamiltoniansThis paper concerns the topological classification of continuous Hamiltonians that find applications in biased cold plasmas and photonics. Besides a magnetic bias, the Hamiltonians are parametrized…Matthew Frazier, Guillaume Bal·Mar 14, 2025SaveLearn
Essentials of the kinetic theory of multi-agent systemsIn this paper, we present a critical collection of essential mathematical tools and techniques for the analysis of Boltzmann-type kinetic equations, which in recent years have established themselves…Nadia Loy, Andrea Tosin·Mar 14, 2025SaveLearn
Effective Velocities in the Toda LatticeIn this paper we consider the Toda lattice (p(t); q(t)) at thermal equilibrium, meaning that its variables (pi) and (eqi-qi+1) are independent Gaussian and…Amol Aggarwal·Mar 14, 2025SaveLearn
Small distance behavior of one-particle Green's functions in electronic structure theoryWithin the framework of many-particle perturbation theory, we develop an analytical approach that allows us to determine the small distance behavior of Green's functions and related quantities in…Heinz-Juergen Flad, Michael Griebel·Mar 14, 2025SaveLearn
The n-point Exceptional UniverseWe solve an open problem in spectral geometry: the construction of finite-dimensional, discrete geometries coordinatized by non-simple, exceptional Jordan algebras. The approach taken is readily…Shane Farnsworth·Mar 13, 2025SaveLearn
Energy functions of general dimensional diamond crystals based on the Kitaev modelThe purpose of this paper is to extend the Kitaev model to a general dimensional diamond crystal. We define the Hamiltonian by using representations of Clifford algebras. Then we compute the energy…Akito Tatekawa·Mar 13, 2025SaveLearn
Coherent manifoldsThis paper defines coherent manifolds and discusses their properties and their application in quantum mechanics. Every coherent manifold with a large group of symmetries gives rise to a Hilbert…Arnold Neumaier, Phillip Josef Bachler, Arash Ghaani Farashahi·Mar 12, 2025SaveLearn
The Topological form is the Pfaffian formFor a given graph G, Budzik, Gaiotto, Kulp, Wang, Williams, Wu, Yu, and the first author studied a ''topological'' differential form αG, which expresses violations of BRST-closedness of a…Paul-Hermann Balduf, Simone Hu·Mar 12, 2025SaveLearn
Tremblay-Turbiner-Winternitz (TTW) system at integer index k: polynomial algebras of integralsAn infinite 3-parametric family of superintegrable and exactly-solvable quantum models on a plane, admitting separation of variables in polar coordinates, marked by integer index k was introduced…Juan Carlos López Vieyra, Alexander V Turbiner·Mar 12, 2025SaveLearn
Dynamical Localization and Transport properties of Quantum Walks on the hexagonal latticeWe study coined Random Quantum Walks on the hexagonal lattice, where the strength of disorder is monitored by the coin matrix. Each lattice site is equipped with an i.i.d. random variable that is…Andreas Schaefer·Mar 12, 2025SaveLearn
Open Hurwitz Flat F manifoldsIn this paper, we derive Open WDVV equations starting from any Hurwitz Dubrovin Frobenius manifold. The WDVV equations play a crucial role in the structure of Frobenius manifolds, quantum cohomology,…Guilherme Feitosa de Almeida·Mar 12, 2025SaveLearn
Limiting distributions of ergodic continuous-time quantum walks on periodic graphsIn this expository note, we study several families of periodic graphs which satisfy a sufficient condition for the ergodicity of the associated continuous-time quantum walk. For these graphs, we…Anne Boutet de Monvel, Kiran Kumar A. S., Mostafa Sabri·Mar 11, 2025SaveLearn
Heat as a gauge connectionWe show that heat defines a gauge connection on a line bundle over work configurations. Vanishing curvature is equivalent to the local existence of entropy and temperature functions such that heat…Bryan W Roberts·Mar 11, 2025SaveLearn