Zobrazeno 1 - 10
of 49
pro vyhledávání: '"Shekhar, Atul"'
Autor:
Chowdhury, Arnab, Shekhar, Atul
Complex solutions to squared Bessel SDEs appear naturally in relation to Schramm-Loewner evolutions. We prove a large deviation principle for such solutions as the dimension parameter tends to $-\infty$.
Comment: 12 Pages
Comment: 12 Pages
Externí odkaz:
http://arxiv.org/abs/2311.11635
We give a complete characterisation of the domain of attraction of fixed points of branching Brownian motion (BBM) with critical drift. Prior to this classification, we introduce a suitable metric space of locally finite point measures on which we pr
Externí odkaz:
http://arxiv.org/abs/2301.13033
We prove existence (and simpleness) of the trace for both forward and backward Loewner chains under fairly general conditions on semimartingale drivers. As an application, we show that stochastic Komatu-Loewner evolutions SKLE$_{\alpha,b}$ are genera
Externí odkaz:
http://arxiv.org/abs/2106.15429
In this note, we give a new proof of Liggett's theorem on the invariant measures of independent particle systems from [Lig78] in the particular case of independent drifted Brownian motions. This particular case has received a lot of attention recentl
Externí odkaz:
http://arxiv.org/abs/2012.03914
In this work, we characterize all the point processes $\theta=\sum_{i\in \mathbb{N}} \delta_{x_i}$ on $\mathbb{R}$ which are left invariant under branching Brownian motions with critical drift $-\sqrt{2}$. Our characterization holds under the only as
Externí odkaz:
http://arxiv.org/abs/2012.03917
We consider a family of Bessel Processes that depend on the starting point $x$ and dimension $\delta$, but are driven by the same Brownian motion. Our main result is that almost surely the first time a process hits $0$ is jointly continuous in $x$ an
Externí odkaz:
http://arxiv.org/abs/2004.10262
Autor:
Shekhar, Atul, Margarint, Vlad
We consider a variant of Bessel SDE by allowing the solution to be complex valued. Such SDEs appear naturally while studying the trace of Schramm-Loewner-Evolutions (SLE). We establish the existence and uniqueness of the strong solution to such SDEs
Externí odkaz:
http://arxiv.org/abs/2001.02735
A quasislit is the image of a vertical line segment [0, iy], y > 0, under a quasiconformal homeomorphism of the upper half-plane fixing infinity. Quasislits correspond precisely to curves generated by the Loewner equation with a driving function in t
Externí odkaz:
http://arxiv.org/abs/1910.03303
Autor:
Unnikrishnan, Abhilash1,2, Shekhar, Atul1,2, Kumar, Dharmendra1,2, Jaipurkar, Raksha1,2 rakshukarade@gmail.com, Sikri, Gaurav1,2, Singh, Krishan1,2, Manral, Rahul1,2
Publikováno v:
Indian Journal of Medical Research. Feb2024, Vol. 159 Issue 2, p241-245. 5p.
Autor:
Shekhar, Atul
Motivated by the study of trace for Schramm-Loewner evolutions, we consider evolutions of planar domains governed by ordinary differential equations with holomorphic vector fields $F$ defined on the upper half plane $\mathbb{H}$. We show a smoothing
Externí odkaz:
http://arxiv.org/abs/1809.09079