Zobrazeno 1 - 10
of 71
pro vyhledávání: '"Gadre, Vaibhav"'
Autor:
Azemar, Aitor, Gadre, Vaibhav
Stationary measures on the circle that arise from a large class of random walks on the fundamental group of a finite-area complete hyperbolic surface with cusps are singular with respect to the Lebesgue measure. In particular, it is sufficient for si
Externí odkaz:
http://arxiv.org/abs/2311.09973
Autor:
Azemar, Aitor, Gadre, Vaibhav, Gouëzel, Sébastien, Haettel, Thomas, Lessa, Pablo, Uyanik, Caglar
Publikováno v:
Journal of Modern Dynamics, 2023, 19: 815-832
Consider a closed surface $M$ with negative Euler characteristic, and an admissible probability measure on the fundamental group of $M$ with finite first moment. Corresponding to each point in the Teichm\"uller space of $M$, there is an associated ra
Externí odkaz:
http://arxiv.org/abs/2212.06581
Autor:
Gadre, Vaibhav, Hensel, Sebastian
A fibered hyperbolic 3-manifold induces a map from the hyperbolic plane to hyperbolic 3-space, the respective universal covers of the fibre and the manifold. The induced map is an embedding that is exponentially distorted in terms of the individual m
Externí odkaz:
http://arxiv.org/abs/2203.13557
We study the interplay between the diagonal flow on, and the topology of, a stratum component of a space of rooted quadratic differentials. We prove that the flow group -- the subgroup of the fundamental group generated by almost-flow loops -- equals
Externí odkaz:
http://arxiv.org/abs/2101.12197
Autor:
Gadre, Vaibhav
We consider the Weil--Petersson (WP) metric on the modular surface. We lift WP geodesics to the universal cover of the modular surface and analyse geometric properties of the lifts as paths in the hyperbolic metric on the universal cover. For any pai
Externí odkaz:
http://arxiv.org/abs/2011.12034
We consider harmonic measures that arise from random walks on the mapping class group determined by probability distributions that have finite first moment with respect to the Teichmuller metric, and whose supports generate non-elementary subgroups.
Externí odkaz:
http://arxiv.org/abs/1909.13811
Autor:
Gadre, Vaibhav
We relate trimmed sums of twists in cylinders along a typical Teichmuller geodesic to the area Siegel-Veech constant.
Comment: Version accepted to Manuscripta Math
Comment: Version accepted to Manuscripta Math
Externí odkaz:
http://arxiv.org/abs/1909.02086
We develop the theory of veering triangulations on oriented surfaces adapted to moduli spaces of half-translation surfaces. We use veering triangulations to give a coding of the Teichm\"uller flow on connected components of strata of quadratic differ
Externí odkaz:
http://arxiv.org/abs/1909.00890
Autor:
Gadre, Vaibhav, Matheus, Carlos
We analyse cusp excursions of random geodesics for Weil--Petersson type incomplete metrics on orientable surfaces of finite type: in particular, we give bounds for maximal excursions. We also give similar bounds for cusp excursions of random Weil--Pe
Externí odkaz:
http://arxiv.org/abs/1709.06355
Autor:
Gadre, Vaibhav, Maher, Joseph
Publikováno v:
Math. Proc. Camb. Phil. Soc. 169 (2020) 299-305
We consider random walks on the mapping class group that have finite first moment with respect to the word metric, whose support generates a non-elementary subgroup and contains a pseudo-Anosov map whose invariant Teichmuller geodesic is in the princ
Externí odkaz:
http://arxiv.org/abs/1706.01926