Institute of Mathematics

The suprema of selector processes with the application to positive infinitely divisible processes

We provide an alternative proof of the recent result of Park and Pham [Ann. of Math. 199 (2024)] on the expected suprema of positive selector and empirical processes, which we find useful in further generalizations we discuss. As an application, we obtain a result concerning posi...

Automorphisms of the Pants Graph of a Nonorientable Surface

We prove that, except in certain low-complexity cases, the automorphism group of the graph of pants decompositions of a nonorientable surface is isomorphic to the mapping class group of that surface.

Quiver Grassmannians associated to nilpotent cyclic representations defined by a single matrix

We study the geometry of the closed Białynicki-Birula cells of the quiver Grassmannians associated to a nilpotent representation of a cyclic quiver defined by a single matrix. The main result of this paper is that for the special case where we choose subrepresentations of dimensi...

Cellular automata can really solve the parity problem

Abstract Determining properties of an arbitrary binary sequence is a challenging task if only local processing is allowed. Among these properties, the determination of the parity of 1s by distributed consensus has been a recurring endeavour in the context of automata networks. In...

Entropy maximization and weak Gibbsianity of quasi-free fermionic states

Abstract In their 1972 study of approach to equilibrium, Lanford and Robinson showed that gauge-invariant quasi-free states of lattice fermions maximize entropy among all translation-invariant states with a fixed two-point function and suggested that the maximizer is unique. In s...

Existence, Uniqueness, and Long-Time Asymptotic Behavior of Regular Solutions in Multidimensional Thermoelasticity

Abstract. We study a simplified nonlinear thermoelasticity model on two- and three-dimensional tori. A novel functional involving the Fisher information associated with temperature is introduced, extending the previous one-dimensional approach from the first two authors [ SIAM J....

Global stability and uniform persistence in an epidemic model with saturating fomite-mediated transmission

Abstract We analyse the global dynamics of a Susceptible–Vaccinated–Exposed–Infected–Recovered (SVEIR) epidemic model with demographic turnover, imperfect vaccination, and two transmission routes: direct host-to-host contagion and indirect transmission via contaminated fomites. I...