BAR-ILAN INSTITUTE OF NANOTECHNOLOGY & ADVANCED MATERIALS | 2019 ANNUAL REPORT

52 • L, Zarfaty, A. Peltshyi, EB, and S. Denisov, “Infinite horizon billiards: transport at the border between Gaussa and L’evy universality classes”, Phys. Rev, E 100, 042140, 2019 . • R, Yin, K. Ziegler, F. Thiel and EB, “Large fluctuations of the first detected quantum return time”, Phys. Rev, Research 1, 033086, 2019 (Editor’s suggestion). • W. Wang, A. Vezzani, R. Burioni, and EB, “Transport in disordered systems: The single big jump approach”, Phys. Rev, Research 1, 033172, 2019 . • F. Thiel, E. Barkai, and D. A. Kessler, “First Detected Arrival of a QuantumWalker on an Infinite Line,” Phys. Rev. Lett., vol. 120, no. 4, Jun. 2018 . • Aghion, D. A. Kessler, and E. Barkai, “Asymptotic densities from the modified Montroll-Weiss equation for coupled CTRWs,” Eur. Phys. J. B, vol. 91, no. 1, p. 17, Jan. 2018 . • W Wang, JHP Schulz, W Deng, E Barkai, “Renewal theory with fat-tailed distributed sojourn times: Typical versus rare”, Physical Review E 98 (4), 042139, 2018 . • L Zarfaty, A Peletskyi, I Fouxon, S Denisov, E Barkai, “Dispersion of particles in an infinite-horizon Lorentz gas”, Physical Review E 98 (1), 010101, 2018 . • F Thiel, DA Kessler, E Barkai, “Spectral dimension controlling the decay of the quantum first-detection probability”, Physical Review A 97 (6), 062105, 2018 . • T Akimoto, E Barkai, K Saito, “Non-self- averaging behaviors and ergodicity in quenched trap models with finite system sizes”, Physical Review E 97 (5), 052143, 2018 . • E Barkai, S Burov, “Non-Gaussian properties of transport in active systems”, Bulletin of the American Physical Society, 2018 . Prof. Richard Berkovits Department of Physics Member of BINA, Nano-Magnetism Center Research Areas • Quantum and statistical mechanics in meso- and nanosystems. • Physical properties of quantum dots and nanoparticle (0D), quantum wires (1D) and quantum well (2D). • Coulomb blockade and magnetization of restricted geometries. • Interaction and disorder effects in nano and mesoscopic systems: persistent currents, quantum chaos, Kondo and impurity systems. • Quantum phase transitions in low dimensions, many-particle localization, entanglement and networks. Abstract Quantum and statistical mechanics in meso- and nanosystems. Extracting many-particle entanglement entropy from observables using supervised machine learning Publications 2018 and 2019 • Avi Cohen, Dmitri Gutman, Richard Berkovits, “Dipole moments in strongly disordered electron glass”, Solid State Communications Volume 291, Pages 7-10, 2019 . • B Friedman and R Berkovits, “Entanglement entropy distribution in the strongly disordered one dimensional Anderson mode”, J. Stat. Mech. 043103, 2019 . Prof. Chaya Brodie The Mina & Everard Goodman Faculty of Life Sciences, Dept. of Neurosurgery, Henry Ford Hospital Member of BINA, Nano-Medicine Center Research Areas • Studying the role of protein kinase C in the regulation of cellular growth, differentiation and apoptosis. • Studying the molecular mechanisms underlying the development of brain tumors: Exploring signal transduction pathways involved in glial cell transformation and identification of novel proteins and genes expressed in brain tumors; development of in vivo and in vitro models of brain tumors; development of novel diagnostic and therapeutic approaches for brain tumors; studying the role of stem cells in the development of brain tumors and their use as a vehicle in gene therapy. • The bi-directional interaction between the nervous and immune systems and the role of this interaction in the function of neuronal and glial cells during physiological and pathological conditions. Abstract Topic 1 Cancer stem cells from brain tumors GBMs contain a small subpopulation of cancer cells called glioma stem cells (GSCs) that are characterized by the ability to self- • R. Berkovits, “Low eigenvalues of the entanglement Hamiltonian, localization length, and rare regions in one- dimensional disordered interacting systems,” Phys. Rev. B, vol. 97, no. 11, p. 115408, Mar. 2018 . • O Sharon, AA Shaulov, J Berger, A Sharoni, R Berkovits, Y Yeshurun, “Current-Induced Crossover of Flux Periodicity from h/2e to h/e in Superconducting Nb Nano-Ring”, Nano letters, 2018 .