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Publications

  • Local Marchenko-Pastur law at the hard edge of the Sample Covariance ensemble (with A. Kafetzopoulos) in revision at Journal of Mathematical Physics arxiv.
  • Elementary Intracellular Ca Signals are Initiated by a Transition of Release Channel System from a Metastable State (with G. Veron, V. Maltsev, and M. Stern) in revision at Journal of Applied Physics arxiv.
  • Meaningful Local Signaling in SA Node Center Identified by Random Matrix Theory (with C. Norris) Journal of Physics: Complexity (2023) 4 015003, BIORXIV, journal.
  • Disorder in Ca2+ Release Unit Locations Confers Robustness but Cuts Flexibility of Heart Pacemaking (with V. Maltsev) Journal of General Physiology , (2022) 154 (9): e202113061. BIORXIV, journal.
  • Universal inverse square relationship between heart rate variability and heart rate (with O. Monfredi and V. Maltsev) Journal of the American College of Cardiology: Clinical Electrophysiology, (2022) Aug, 8 (8) 1042-1044. BIORXIV, journal.
  • Covariance Kernel of Half-heavy Tailed Random Matrix Eigenvalues (with Asad Lodhia) Random Matrices: Theory and Applications (2022) 12(2): 2250054, arxiv, journal.
  • Mechanisms of Calcium Leak from Cardiac Sarcoplasmic Reticulum Revealed by Statistical Mechanics (with M. Stern and V. Maltsev)
    Biophysical Journal, Volume 116, Issue 11, 4 June 2019, Pages 2212-2223. arxiv, journal.
  • Localization and landscape functions on quantum graphs (with E. Harrell)
    Transactions of the AMS (2020), 373: 1701-1729. arxiv, journal.
  • On Agmon metrics and exponential localization for quantum graphs. (with E. Harrell)
    Comm. Math. Phys. (2018) 359(2): 429 - 448. arxiv, journal.
  • Clusters of calcium release channels harness the Ising phase transition to confine their elementary intracellular signals (with V. Maltsev and M. Stern)
    Proc. Natl. Acad. Sci. USA (2017), 114(29): 7525-7530. arxiv, journal.
  • Density and spacings for the energy levels of Quadratic Fermi operators (with Fabio Deelan Cunden and Francesco Mezzadri)
    J. Math. Phys. (2017), 58, 061902. arxiv, journal.
  • Fluctuations of linear statistics of half-heavy-tailed random matrices (with F. Benaych-Georges)
    Stoch. Proc. Appl. (2016), 126(11): 3331-3352. arxiv, journal.
  • Fluctuations in the two-dimensional one-component plasma and associated fourth-order phase transition (with Fabio Deelan Cunden and Francesco Mezzadri)
    Phys. Rev. E (2015), 91, 060105(R). arxiv, journal.
  • Bounds for the Stieltjes Transform and the Density of States for Wigner Matrices (with C. Cacciapuoti and B. Schlein)
    Probab. Theory Related Fields (2015), 163(1-2): 1-59. arxiv, journal.
  • Modern perspectives on numerical modeling of cardiac pacemaker cell (with V. Maltsev, Y. Yaniv, M. Stern, E. Lakatta)
    J Pharmacol Sci. (2014), 125(1):6-38. journal.
  • RyR-NCX-SERCA local cross-talk ensures pacemaker cell function at rest and during the fight-or-flight reflex (with Y. Yaniv, M. Stern, E. Lakatta, V. Maltsev)
    Circ. Res. (2013), 113:e94-e100. journal.
  • Local Marchenko-Pastur Law at the Hard Edge of Sample Covariance Matrices (with C. Cacciapuoti and B. Schlein)
    J. Math. Phys. (2013), 54(4), 043302. arxiv, journal.
  • Average Density of States for Hermitian Wigner Matrices (with B. Schlein)
    Adv. Math. (2011), 228(5):2797-2836. arxiv, journal.
  • A Wegner estimate for Wigner matrices (with B. Schlein)
    Entropy and the Quantum II (2011), Arizona School of Analysis with Applications, Amer. Math. Soc., 145-160.arxiv.
  • Synchoronization of stochastic Ca2+ release units creates a rhythmic Ca2+ clock in cardiac pacemaker cells (with V. Maltsev, M. Mikheev, L. Maltseva, S. Sirenko, E. Lakatta, M. Stern)
    Biophys. J. (2011), 100(2):271-283. journal.
  • Universality Limits of a Reproducing Kernel for a Half-Line Schrodinger Operator and Clock Behavior of Eigenvalues
    Comm. Math. Phys. (2010), 298(2):461-484. arxiv, journal.
  • Analysis of functional signaling domains from fluorescence imaging and the two-dimensional continuous wavelet transform (with D. Mager, E. Kobrinsky, A. Masoudieh, D. Abernethy, N. Soldatov)
    Biophys. J. (2007), 93:2900-2910. journal.

Selected talk Slides