Logarithmic Potentials and Planar Brownian Motion

1972 ◽  
pp. 177-192
Author(s):  
S. Port ◽  
C. Stone
Keyword(s):  
Brownian Motion ◽  
Logarithmic Potentials ◽  
Planar Brownian Motion

scholarly journals Mean perimeter and area of the convex hull of a planar Brownian motion in the presence of resetting

2021 ◽  
Vol 103 (2) ◽  
Author(s):  
Satya N. Majumdar ◽  
Francesco Mori ◽  
Hendrik Schawe ◽  
Grégory Schehr
Keyword(s):  
Brownian Motion ◽  
Convex Hull ◽  
Planar Brownian Motion

scholarly journals Thick points for planar Brownian motion and the Erdős-Taylor conjecture on random walk

2001 ◽  
Vol 186 (2) ◽  
pp. 239-270 ◽  
Author(s):  
Amir Dembo ◽  
Yuval Peres ◽  
Jay Rosen ◽  
Ofer Zeitouni
Keyword(s):  
Brownian Motion ◽  
Random Walk ◽  
Planar Brownian Motion ◽  
Thick Points

Systèmes dynamiques gaussiens d'entropie nulle, lâchement et non lâchement Bernoulli

1996 ◽  
Vol 16 (2) ◽  
pp. 379-404 ◽  
Author(s):  
Thierry De La Rue
Keyword(s):  
Brownian Motion ◽  
Dynamical Systems ◽  
Planar Brownian Motion ◽  
Zero Entropy

AbstractWe construct two real Gaussian dynamical systems of zero entropy; the first one is not loosely Bernoulli, and the second is a loosely Bernoulli Gaussian-Kronecker system. To get loose-Bernoullicity for the second system, we prove and use a property of planar Brownian motion on [0, 1]: we can recover the whole trajectory knowing only some angles formed by the motion.

scholarly journals Anyonic partition functions and windings of planar Brownian motion

1995 ◽  
Vol 51 (2) ◽  
pp. 942-945 ◽  
Author(s):  
Jean Desbois ◽  
Christine Heinemann ◽  
Stéphane Ouvry
Keyword(s):  
Brownian Motion ◽  
Partition Functions ◽  
Planar Brownian Motion

scholarly journals Multiple Intersection Exponents for Planar Brownian Motion

2009 ◽  
Vol 136 (2) ◽  
pp. 373-397
Author(s):  
Achim Klenke ◽  
Peter Mörters
Keyword(s):  
Brownian Motion ◽  
Planar Brownian Motion

scholarly journals Polymer measure: Varadhan's renormalization revisited

2015 ◽  
Vol 27 (03) ◽  
pp. 1550009 ◽  
Author(s):  
Wolfgang Bock ◽  
Maria João Oliveira ◽  
José Luís da Silva ◽  
Ludwig Streit
Keyword(s):  
Brownian Motion ◽  
Rate Of Convergence ◽  
Local Time ◽  
Intersection Local Time ◽  
Planar Brownian Motion ◽  
Chaos Decomposition

Through chaos decomposition, we improve the Varadhan estimate for the rate of convergence of the centered approximate self-intersection local time of planar Brownian motion.

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