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Variational Formulas and Cocycle solutions for Directed Polymer and Percolation Models

- N. Georgiou, F. Rassoul-Agha, T. Seppäläinen
- Mathematics
- 13 November 2013

We discuss variational formulas for the law of large numbers limits of certain models of motion in a random medium: namely, the limiting time constant for last-passage percolation and the limiting… Expand

Stationary cocycles and Busemann functions for the corner growth model

- N. Georgiou, F. Rassoul-Agha, T. Seppäläinen
- Mathematics
- 3 October 2015

We study the directed last-passage percolation model on the planar square lattice with nearest-neighbor steps and general i.i.d. weights on the vertices, outside of the class of exactly solvable… Expand

Geodesics and the competition interface for the corner growth model

- N. Georgiou, F. Rassoul-Agha, T. Seppäläinen
- Mathematics
- 3 October 2015

We study the directed last-passage percolation model on the planar integer lattice with nearest-neighbor steps and general i.i.d. weights on the vertices, outside the class of exactly solvable… Expand

Ratios of partition functions for the log-gamma polymer

- N. Georgiou, F. Rassoul-Agha, T. Seppalainen, A. Yilmaz
- Mathematics
- 6 March 2013

We introduce a random walk in random environment associated to an underlying directed polymer model in 1 + 1 dimensions. This walk is the positive temperature counterpart of the competition in-… Expand

Large deviation rate functions for the partition function in a log-gamma distributed random potential

- N. Georgiou, T. Seppalainen
- Mathematics
- 17 October 2011

We study right tail large deviations of the logarithm of the partition function for directed lattice paths in i.i.d. random potentials. The main purpose is the derivation of explicit formulas for the… Expand

Solvable non-Markovian dynamic network.

- N. Georgiou, I. Kiss, E. Scalas
- MathematicsPhysical review. E, Statistical, nonlinear, and…
- 13 February 2015

TLDR

Last passage percolation in an exponential environment with discontinuous rates

- Federico Ciech, N. Georgiou
- Mathematics
- 2 August 2018

We prove a strong law of large numbers for directed last passage times in an independent but inhomogeneous exponential environment. Rates for the exponential random variables are obtained from a… Expand

Stationary cocycles for the corner growth model

- N. Georgiou, F. Rassoul-Agha, T. Seppalainen
- Mathematics
- 30 April 2014

We study the directed last-passage percolation model on the planar integer lattice with nearest-neighbor steps and general i.i.d. weights on the vertices, outside the class of exactly solvable… Expand

The Mathematics of Human Contact: Developing a Model for Social Interaction in School Children

- S. Ashton, E. Scalas, N. Georgiou, I. Kiss
- Computer ScienceActa Physica Polonica A
- 20 February 2018

TLDR

Parenting and children’s adjustment problems: the mediating role of self-esteem and peer relations

- N. Georgiou, Panayiotis Stavrinides, S. Georgiou
- Psychology
- 21 September 2016

ABSTRACT The aim of this study was to investigate the impact of parental and personal characteristics on children’s internalizing/externalizing problems. Further, this study aimed to examine personal… Expand

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