Results 21 to 30 of about 94,118 (265)
Scaling Limit of the Prudent Walk [PDF]
Electronic Communications in Probability, 2010 We describe the scaling limit of the nearest neighbour prudent walk on the square lattice, which performs steps uniformly in directions in which it does not see sites already visited. We show that the scaling limit is given by the process Z(u) = s_1 theta^+(3u/7) e_1 + s_2 theta^-(3u/7) e_2, where e_1, e_2 is the canonical basis, theta^+(t), resp ...
Beffara, Vincent +2 more
openaire +3 more sources
Exact Derivation of a Finite-Size Scaling Law and Corrections to Scaling in the Geometric Galton-Watson Process. [PDF]
PLoS ONE, 2016 The theory of finite-size scaling explains how the singular behavior of thermodynamic quantities in the critical point of a phase transition emerges when the size of the system becomes infinite. Usually, this theory is presented in a phenomenological way.
Álvaro Corral +2 more
doaj +1 more source
Scaling Limits of Discrete Optimal Transport [PDF]
SIAM Journal on Mathematical Analysis, 2020 45 pages, minor ...
Gladbach, Peter, Kopfer, Eva, Maas, Jan
openaire +2 more sources
Scaling limits for infinite-server systems in a random environment
Stochastic Systems, 2017 This paper studies the effect of an overdispersed arrival process on the performance of an infinite-server system. In our setup, a random environment is modeled by drawing an arrival rate Λ from a given distribution every Δ time units, yielding an i.i.d.
Mariska Heemskerk +2 more
doaj +1 more source
NONPERTURBATIVE DOUBLE SCALING LIMITS [PDF]
International Journal of Modern Physics A, 2003 Recently, the author has proposed a generalization of the matrix and vector models approach to the theory of random surfaces and polymers. The idea is to replace the simple matrix or vector (path)-integrals by gauge theory or nonlinear σ model (path)-integrals. We explain how this solves one of the most fundamental limitations of the classic approach:
openaire +5 more sources
Highly Anisotropic Scaling Limits [PDF]
Journal of Statistical Physics, 2015 We consider a highly anisotropic $d=2$ Ising spin model whose precise definition can be found at the beginning of Section 2. In this model the spins on a same horizontal line (layer) interact via a $d=1$ Kac potential while the vertical interaction is between nearest neighbors, both interactions being ferromagnetic.
CASSANDRO, Marzio +2 more
openaire +2 more sources
LIMITS ON THE NON-COMMUTATIVITY SCALE [PDF]
CPT and Lorentz Symmetry, 2002 A non-vanishing vacuum expectation value for an antisymmetric tensor field leads to the violation of Lorentz invariance, controlled by the dimension (-2) parameter, theta_{mu nu}. We assume that the zeroth order term in theta-expansion represents the Standard Model and study the effects induced by linear terms in theta_{mu nu}. If coupling to theta_{mu
Mocioiu, Irina +2 more
openaire +2 more sources
On the scaling limits of planar percolation [PDF]
The Annals of Probability, 2011 We prove Tsirelson's conjecture that any scaling limit of the critical planar percolation is a black noise. Our theorems apply to a number of percolation models, including site percolation on the triangular grid and any subsequential scaling limit of bond percolation on the square grid.
Schramm, Oded +2 more
openaire +6 more sources
Scaling Limit of Fluctuations in Stochastic Homogenization [PDF]
Multiscale Modeling & Simulation, 2016 27 pages, revised version with a new section obtained jointly with Scott ...
Gu, Yu, Mourrat, Jean-Christophe
openaire +4 more sources
An improved test for detecting multiplicative homeostatic synaptic scaling. [PDF]
PLoS ONE, 2012 Homeostatic scaling of synaptic strengths is essential for maintenance of network "gain", but also poses a risk of losing the distinctions among relative synaptic weights, which are possibly cellular correlates of memory storage.
Jimok Kim +2 more
doaj +1 more source