Zobrazeno 1 - 10
of 84
pro vyhledávání: '"Tsagkarogiannis, Dimitrios"'
We consider a binary system of small and large spheres of finite size in a continuous medium interacting via a non-negative potential. We work in the canonical ensemble and compute upper and lower bound for the free energy at finite and infinite volu
Externí odkaz:
http://arxiv.org/abs/2310.07411
We consider a family of models having an arbitrary positive amount of mass on each site and randomly exchanging an arbitrary amount of mass with nearest neighbor sites. We restrict to the case of diffusive models. We identify a class of reversible mo
Externí odkaz:
http://arxiv.org/abs/2309.14836
Autor:
Carinci, Gioia, Franceschini, Chiara, Gabrielli, Davide, Giardinà, Cristian, Tsagkarogiannis, Dimitrios
We consider the one dimensional boundary driven harmonic model and its continuous version, both introduced in \cite{FGK}. By combining duality and integrability the authors of \cite{FG} obtained the invariant measures in a combinatorial representatio
Externí odkaz:
http://arxiv.org/abs/2307.02793
Autor:
Tsagkarogiannis, Dimitrios
We review some recent progress on applications of Cluster Expansions. We focus on a system of classical particles living in a continuous medium and interacting via a stable and tempered pair potential. We review the cluster expansion in both the cano
Externí odkaz:
http://arxiv.org/abs/2304.12896
Publikováno v:
Ann. Henri Poincar\'e (2021), Online first
We prove a multivariate Lagrange-Good formula for functionals of uncountably many variables and investigate its relation with inversion formulas using trees. We clarify the cancellations that take place between the two aforementioned formulas and dra
Externí odkaz:
http://arxiv.org/abs/2008.10862
We prove a novel inversion theorem for functionals given as power series in infinite-dimensional spaces and apply it to the inversion of the density-activity relation for inhomogeneous systems. This provides a rigorous framework to prove convergence
Externí odkaz:
http://arxiv.org/abs/1906.02322
We consider a binary system of small and large objects in the continuous space interacting via a non-negative potential. By integrating over the small objects, the effective interaction between the large ones becomes multi-body. We prove convergence
Externí odkaz:
http://arxiv.org/abs/1903.01825
Publikováno v:
In Journal of Functional Analysis 1 January 2023 284(1)
We present a systematic coarse-graining (CG) strategy for many particle molecular systems based on cluster expansion techniques. We construct a hierarchy of coarse-grained Hamiltonians with interaction potentials consisting of two, three and higher b
Externí odkaz:
http://arxiv.org/abs/1612.05429
We prove convergence of the multi-body correlation function as a power series in the density. We work in the context of the cluster expansion in the canonical ensemble and we obtain bounds uniform in the volume and the number of particles. In the the
Externí odkaz:
http://arxiv.org/abs/1611.01716