31 citations · 295 across the 23 of their papers we have counts for
23 papers
Non-existence of bi-infinite geodesics in the exponential corner growth model
Márton Balázs, Ofer Busani, Timo Seppäläinen
This paper gives a self-contained proof of the non-existence of nontrivial bi-infinite geodesics in directed planar last-passage percolation with exponential weights. The technique…
Q-zero range has random walking shocks
Márton Balázs, Lewis Duffy, Dimitri Pantelli
... but no other surprises in the zero range world. We check all nearest neighbour 1-dimensional asymmetric zero range processes for random walking product shock measures as demons…
Coexistence of shocks and rarefaction fans: complex phase diagram of a simple hyperbolic particle system
Márton Balázs, Attila László Nagy, Bálint Tóth +1
This paper investigates the non-equilibrium hydrodynamic behavior of a simple totally asymmetric interacting particle system of particles, antiparticles and holes on .…
Electric network for non-reversible Markov chains
Márton Balázs, Áron Folly
We give an analogy between non-reversible Markov chains and electric networks much in the flavour of the classical reversible results originating from Kakutani, and later Kemény-Sn…
Comparing dealing methods with repeating cards
Marton Balazs, David Zoltan Szabo
In a recent work Conger and Howald derived asymptotic formulas for the randomness, after shuffling, of decks with repeating cards or all-distinct decks dealt into hands. In the lat…
Modeling Flocks and Prices: Jumping Particles with an Attractive Interaction (shortened version)
Marton Balazs, Miklos Z. Racz, Balint Toth
We introduce and investigate a new model of a finite number of particles jumping forward on the real line. The jump lengths are independent of everything, but the jump rate of each…