scholarly journals A renormalized local time for multiple intersections of planar brownian motion

1986 ◽  
pp. 515-531 ◽  
Author(s):  
Jay Rosen
Keyword(s):  
Brownian Motion ◽  
Local Time ◽  
Planar Brownian Motion ◽  
Multiple Intersections

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.

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
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