Institute of Mathematics

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...