7 papers
Hydrodynamics of perfect fluids with anomalies from the fermionic path integral
Alexander G. Abanov, Andrea Cappelli
The path integral of the Dirac fermion with vector and axial gauge backgrounds is analyzed near the infrared limit in the presence of residual irrelevant current-current interactio…
Infinite-dimensional nonholonomic and vakonomic systems
Alexander G. Abanov, Boris Khesin
In this paper, we present a collection of infinite-dimensional systems with nonholonomic constraints. In finite dimensions the two essentially different types of dynamics, nonholon…
Quantum Geometry of Data
Alexander G. Abanov, Luca Candelori, Harold C. Steinacker +9
We demonstrate how Quantum Cognition Machine Learning (QCML) encodes data as quantum geometry. In QCML, features of the data are represented by learned Hermitian matrices, and data…
Quantum Cognition Machine Learning for Forecasting Chromosomal Instability
Giuseppe Di Caro, Vahagn Kirakosyan, Alexander G. Abanov +11
The accurate prediction of chromosomal instability from the morphology of circulating tumor cells (CTCs) enables real-time detection of CTCs with high metastatic potential in the c…
Emptiness Instanton in Quantum Polytropic Gas
Alexander G. Abanov, Dimitri M. Gangardt
The emptiness formation problem is addressed for a one-dimensional quantum polytropic gas characterized by an arbitrary polytropic index , which defines the equation of state $…
The density profile of a Coulomb plasma on a cylinder: boundary oscillations
Gabriel Cardoso, Jean-Marie Stéphan, Alexander G. Abanov
We present Monte Carlo simulations of the two-dimensional one-component plasma (2D OCP) confined to a cylindrical geometry, focusing on density profiles, fluctuations, and their co…