386 citations · 567 across the 31 of their papers we have counts for
32 papers
Logarithms of Catalan generating functions: A combinatorial approach
Sabine Jansen, Leonid Kolesnikov
We analyze the combinatorics behind the operation of taking the logarithm of the generating function for generalized Catalan numbers. We provide combinatorial i…
Geometric criteria for the absence of effective many-body interactions in nonadditive hard particle mixtures
René Wittmann, Sabine Jansen, Hartmut Löwen
We consider a mixture of small and big classical particles in arbitrary spatial dimensions interacting via hard-body potentials with non-additive excluded-volume interactions. In p…
Intertwining and Duality for Consistent Markov Processes
Simone Floreani, Sabine Jansen, Frank Redig +1
In this paper we derive intertwining relations for a broad class of conservative particle systems both in discrete and continuous setting. Using the language of point process theor…
Cluster expansions: Necessary and sufficient convergence conditions
Sabine Jansen, Leonid Kolesnikov
We prove a new convergence condition for the activity expansion of correlation functions in equilibrium statistical mechanics with possibly negative pair potentials. For non-negati…
The Method of Cumulants for the Normal Approximation
Hanna Döring, Sabine Jansen, Kristina Schubert
The survey is dedicated to a celebrated series of quantitave results, developed by the Lithuanian school of probability, on the normal approximation for a real-valued random variab…
Distribution of cracks in a chain of atoms at low temperature
Sabine Jansen, Wolfgang König, Bernd Schmidt +1
We consider a one-dimensional classical many-body system with interaction potential of Lennard-Jones type in the thermodynamic limit at low temperature . The grou…