11 citations · 46 across the 32 of their papers we have counts for
23 papers · 1 filter
A new class of solutions to the van Dantzig problem, the Lee-Yang property, and the Riemann hypothesis
T. Konstantopoulos, P. Patie, R. Sarkar
The purpose of this paper is to carry out an in-depth analysis of the intriguing van Dantzig problem which consists on characterizing the set of analytic characteristi…
Estimation of the last passage percolation constant in a charged complete directed acyclic graph via perfect simulation
Sergey Foss, Takis Konstantopoulos, Bastien Mallein +1
Our object of study is the asymptotic growth of heaviest paths in a charged (weighted with signed weights) complete directed acyclic graph. Edge charges are i.i.d. random variables…
Probabilistic and analytical properties of the last passage percolation constant in a weighted random directed graph
Sergey Foss, Takis Konstantopoulos, Artem Pyatkin
To each edge (i,j), i<j of the complete directed graph on the integers we assign unit weight with probability p or weight x with probability 1-p, independently from edge to edge, a…
Does the ratio of Laplace transforms of powers of a function identify the function?
Takis Konstantopoulos, Linglong Yuan
We study the following question: if is a nonzero measurable function on and and distinct nonnegative integers, does the ratio …
The log-Sobolev inequality for spin systems of higher order interactions
Takis Konstantopoulos, Ioannis Papageorgiou
We study the infinite-dimensional log-Sobolev inequality for spin systems on with interactions of power higher than quadratic. We assume that the one site measure wi…
Limiting properties of random graph models with vertex and edge weights
Sergey Foss, Takis Konstantopoulos
This paper provides an overview of results, concerning longest or heaviest paths, in the area of random directed graphs on the integers along with some extensions. We study first-o…