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63 papers · 1 filter
The conditional measures for the determinantal point process with the Bergman kernel
Alexander I. Bufetov
This note gives an explicit description of conditional measures for the determinantal point process with the Bergman kernel.
Discrete velocity Boltzmann equation in the plane: stationary solutions
Leif Arkeryd, Anne Nouri
The paper proves existence of mild solutions to normal discrete velocity Boltzmann equations sin the plane with no pair of colinear interacting velocities, and given ingoing bounda…
The Mirage of Universality in Cellular Automata
Guillaume Theyssier
This note is a survey of examples and results about cellular automata with the purpose of recalling that there is no 'universal' way of being computationally universal. In particul…
Segal's axioms and bootstrap for Liouville Theory
Colin Guillarmou, Antti Kupiainen, Rémi Rhodes +1
In 1987 Graeme Segal gave a functorial definition of Conformal Field Theory (CFT) that was designed to capture the mathematical essence of the Conformal Bootstrap formalism pioneer…
An inverse problem: recovering the fragmentation kernel from the short-time behaviour of the fragmentation equation
Marie Doumic, Miguel Escobedo, Magali Tournus
The present paper provides a new representation of the solution to the fragmentation equation as a power series in the Banach space of Radon measures endowed with the total variati…
The algebraic topology of 4-manifolds multisections
Delphine Moussard, Trenton Schirmer
A multisection of a 4-manifold is a decomposition into 1-handlebodies intersecting pairwise along 3-dimensional handlebodies or along a central closed surface; this generalizes the…