118 citations · 293 across the 11 of their papers we have counts for
16 papers
Exploring Low Energy Excess in MINER with sapphire detectors using Convolutional Variational Autoencoder (CVAE)
D. Mondal, W. Baker, M. Chaudhuri +19
As cryogenic detectors push toward ever-lower energy thresholds, their sensitivity is increasingly constrained by a persistent low-energy background known as the low-energy excess…
Energy levels and Aharonov-Bohm oscillations in twisted bilayer graphene quantum dots and rings
N. S. Bandeira, Andrey Chaves, L. V. de Castro +4
We present a systematic study of the energy levels of twisted bilayer graphene (tBLG) quantum dots (QD) and rings (QR) under an external perpendicular magnetic field. The confineme…
Electronic Mach-Zehnder interference in a bipolar hybrid monolayer-bilayer graphene junction
M. Mirzakhani, N. Myoung, F. M. Peeters +1
Graphene matter in a strong magnetic field, realizing one-dimensional quantum Hall channels, provides a unique platform for studying electron interference. Here, using the Landauer…
Isolated and hybrid bilayer graphene rings
M. Mirzakhani, D. R. da Costa, F. M. Peeters
Using the continuum model, we investigate the electronic properties of two types of bilayer graphene (BLG) quantum ring (QR) geometries: (i) an isolated BLG QR and (ii) a monolayer…
Effective counting of simple closed geodesics on hyperbolic surfaces
Alex Eskin, Maryam Mirzakhani, Amir Mohammadi
We prove a quantitative estimate, with a power saving error term, for the number of simple closed geodesics of length at most on a compact surface equipped with a Riemannian me…
Lengths of closed geodesics on random surfaces of large genus
Maryam Mirzakhani, Bram Petri
We prove Poisson approximation results for the bottom part of the length spectrum of a random closed hyperbolic surface of large genus. Here, a random hyperbolic surface is a surfa…
Sperner's colorings and optimal partitioning of the simplex
Maryam Mirzakhani, Jan Vondrak
We discuss coloring and partitioning questions related to Sperner's Lemma, originally motivated by an application in hardness of approximation. Informally, we call a partitioning o…
Full rank affine invariant submanifolds
Maryam Mirzakhani, Alex Wright
We show that every GL(2, R) orbit closure of translation surfaces is either a connected component of a stratum, the hyperelliptic locus, or consists entirely of surfaces whose Jaco…
Counting Mapping Class group orbits on hyperbolic surfaces
Maryam Mirzakhani
Let be a surface of genus with marked points. Let be a complete hyperbolic metric on with cusps. Every isotopy class of a closed curve $γ…
The boundary of an affine invariant submanifold
Maryam Mirzakhani, Alex Wright
We study the boundary of an affine invariant submanifold of a stratum of translation surfaces in a partial compactification consisting of all finite area Abelian differentials over…
Isolation, equidistribution, and orbit closures for the SL(2,R) action on Moduli space
Alex Eskin, Maryam Mirzakhani, Amir Mohammadi
We prove results about orbit closures and equidistribution for the SL(2,R) action on the moduli space of compact Riemann surfaces, which are analogous to the theory of unipotent fl…
Invariant and stationary measures for the SL(2,R) action on Moduli space
Alex Eskin, Maryam Mirzakhani
We prove some ergodic-theoretic rigidity properties of the action of SL(2,R) on moduli space. In particular, we show that any ergodic measure invariant under the action of the uppe…
Towards large genus asymtotics of intersection numbers on moduli spaces of curves
Maryam Mirzakhani, Peter Zograf
We explicitly compute the diverging factor in the large genus asymptotics of the Weil-Petersson volumes of the moduli spaces of -pointed complex algebraic curves. Modulo a unive…
Growth of Weil-Petersson volumes and random hyperbolic surfaces of large genus
Maryam Mirzakhani
In this paper we study the asymptotic behavior of Weil-Petersson volumes of moduli spaces of hyperbolic surfaces of genus as We apply these asymptotic e…
Counting closed geodesics in Moduli space
Alex Eskin, Maryam Mirzakhani
We compute the asymptotics, as R tends to infinity, of the number of closed geodesics in Moduli space of length at most R, or equivalently the number of pseudo-Anosov elements of t…
Lattice Point Asymptotics and Volume Growth on Teichmuller space
Jayadev Athreya, Alexander Bufetov, Alex Eskin +1
We apply some of the ideas of the Ph.D. Thesis of G. A. Margulis to Teichmuller space. Let x be a point in Teichmuller space, and let B_R(x) be the ball of radius R centered at x (…