Velocity estimates for symmetric random walks at low ballistic disorder

Alejandro F. Ram\'irez; Christophe Sabot; Cl\'ement Laurent; Santiago Saglietti

arxiv: 1701.06308 · v1 · pith:WTEVHQSNnew · submitted 2017-01-23 · 🧮 math.PR · math-ph· math.MP

Velocity estimates for symmetric random walks at low ballistic disorder

Cl\'ement Laurent , Alejandro F. Ram\'irez , Christophe Sabot , Santiago Saglietti This is my paper

classification 🧮 math.PR math-phmath.MP

keywords randomestimatessymmetricvelocitywalksasymptoticballisticcomplement

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We derive asymptotic estimates for the velocity of random walks in random environments which are perturbations of the simple symmetric random walk but have a small local drift in a given direction. Our estimates complement previous results presented by Sznitman and are in the spirit of expansions obtained by Sabot.

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Velocity estimates for symmetric random walks at low ballistic disorder

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