Stanford
Arka Adhikari

Research

Papers and Preprints:

  •  Edge Universality of Correlated Matrices, with Z. Che, Elec. Jour. Probab., Volume 24(2019),paper no. 44.
  •  Dyson Brownian Motion for General $\beta$ and Potential at the Edge, with J. Huang, Prob. Theory and Rel. Fields,178, 893-950 (2020)
  • Global eigenvalue distribution of matrices defined by the skew-shift, with M. Lemm and H.T. Yau, Anal. and PDE, Volume 14 No. 4 (2021)
  • Spin Distributions for Generic Spherical Spin Glasses, Elec. Jour. Probab., Volume 27 (2022)
  • Free Energy of the Quantum Sherrington-Kirkpatrick Model, with C. Brennecke, Jour. of Math. Phys., Volume 61(2020), Issue 8.
  • Bose-Einstein Condensation Beyond the Gross-Pitaevskii Regime, with C. Brennecke and B. Schlein, Annales Henri-Poincare, Volume 22(2021),pages 1163-1263A 
  • Local Law for Singular Values from Diophantine Equations,with M. Lemm, Intl. Math. Res. Not., Volume 2023(2021) Issue 5, pages 3907-3947
  • Dynamical Approach to the TAP Equations for the Sherrington-Kirkpatrick Model, with C. Brennecke, P. Von Soosten, and H.T Yau, J. Stat. Phys.,(2021) Volume 183, No. 35
  • Wilson Loop Expectations for Non-Abelian Gauge Fields Coupled to a Higgs Boson at Low and High Disorder , submitted, arXiv:2111.07540
  • Universal Eigenvalue Statistics for Dynamically Defined Matrices, with M. Lemm, Jour. D' Anal. Math. to appear, arXiv:2201.00851
  • Local law and rigidity for unitary Brownian motion, with B. Landon, Prob. Theory Rel. Fields to appear, arXiv:2202.06714
  • Correlation decay for finite lattice gauge theories at weak coupling, with S. Cao, submitted, arXiv:2202.10375
  • An invariance principle for the 1D KPZ equation, with S. Chatterjee, Anal. Prob. to appear,arXiv:2208.02492
  • Spectral Gap Estimates for Mixed p-Spin Models at High Temperature,with C. Brennecke, C.Xu, and H.T. Yau, submitted, arXiv:2208.07844
  •  Eigenstate Thermalization Hypothesis for Generalized Wigner Matrices, with S. Dubova, C.Xu and J. Yin, submitted,arXiv:2302.00157
  • Deviations of the intersection of Brownian Motions in dimension four with general kernel, with I. Okada, arXiv:2304.12101
  • Moderate deviations of the capacity of the range of a simple random walk, with I. Okada, arXiv: 2310.07685 
  • Limiting spectral measure for uniform d-regular digraphs, with A. Dembo, arXiv:2310.14132

 

My works on the arXiv:

https://arxiv.org/search/?query=Adhikari%2C+Arka&searchtype=author&abst…