Dandekar, Rahul Mallick, Kirone
Published in
Journal of Physics A: Mathematical and Theoretical

The dynamics of an asymmetric tracer in the symmetric simple exclusion process (SEP) is mapped, in the continuous scaling limit, to the local current through the origin in the zero-range process with a biased bond. This allows us to study the hydrodynamics of the SEP with an asymmetric tracer with a step initial condition, leading to the average di...

Denisov, Konstantin Yu.
Published in
Discrete Mathematics and Applications

We consider local probabilities of lower deviations for branching process Zn=Xn,1+⋯+Xn,Zn−1 ${{Z}_{n}}={{X}_{n,1}}+\cdots +{{X}_{n,{{Z}_{n-1}}}}$in random environment η. We assume that η is a sequence of independent identically distributed random variables and for fixed environment η the distributions of variables Xi,j are geometric ones.We suppose...

Schütz, G M Karevski, D
Published in
Journal of Physics A: Mathematical and Theoretical

Exact results are presented for conditioned dynamics in a system of interacting random walks in one dimension that annihilate immediately when two particles meet on the same site and where pairs of particles are deposited randomly on neighbouring sites. For an atypical hopping activity one finds dynamical nonequilibrium phase transitions analogous ...

Timashev, Alexander N.
Published in
Discrete Mathematics and Applications

A class of one-dimensional discrete power series distributions containing negative binomial distributions is considered. Properties of distributions of this class are investigated. Limit theorems generalizing similar theorems for the negative binomial distributions are proved. The proofs are based both on elementary asymptotic methods and on a modi...

Renger, D R Michiel
Published in
Journal of Physics A: Mathematical and Theoretical

We study a micro and macroscopic model for chemical reactions with feedback between reactions and temperature of the solute. The first result concerns the quasipotential as the large-deviation rate of the microscopic invariant measure. The second result is an application of modern Onsager–Machlup theory to the pathwise large deviations, in case the...

Carugno, Giorgio Vivo, Pierpaolo Coghi, Francesco
Published in
Journal of Physics A: Mathematical and Theoretical

We consider discrete-time Markov chains and study large deviations of the pair empirical occupation measure, which is useful to compute fluctuations of pure-additive and jump-type observables. We provide an exact expression for the finite-time moment generating function, which is split in cycles and paths contributions, and scaled cumulant generati...

Dolezal, jakub Jack, Robert

IPython notebooks used to generate the figures in the paper, together with the underlying data. / UKRI

Adams, Stefan Dickson, Matthew
Published in
Journal of Physics A: Mathematical and Theoretical

In this paper, we study various models for random combinatorial partitions using large deviation analysis for diverging scale of the reference process. The large deviation rate functions are normalised limiting free energies and the main focus is to study their minimiser for various Gibbsian ensembles with respect to the reference measure which is ...

Boutillon, Nathanaël

We study a variant of the Fisher-KPP equation with nonlocal dispersal. Using the theory of large deviations, we show the emergence of a "Bramson-like" logarithmic delay for the linearised equation with step-like initial data. We conclude that the logarithmic delay emerges also for the solutions of the nonlinear equation. Previous papers found very ...

Han, Chengyuan Witthaut, Dirk Gorjão, Leonardo Rydin Böttcher, Philipp C
Published in
Journal of Physics: Complexity

Future energy systems will be dominated by variable renewable power generation and interconnected sectors, leading to rapidly growing complexity. Flexible elements are required to balance the variability of renewable power sources, including backup generators and storage devices, but also flexible consumers. Demand response (DR) aims to adapt the d...