# Faculty Profile

# Jerome K. Percus

Professor of Mathematics and Physics

percus@cims.nyu.edu

212-998-3130

Warren Weaver Hall, Office 501

## Education

Ph.D., Physics, Columbia University, USA, 1954.

M.A., Mathematics, Columbia University, USA, 1948.

B.S., Electrical Engineering, Columbia University, USA, 1947.

## Research Interests

A common thread among my research activities is the study of relations between high and low resolution solutions of mathematical and physical problems. Directions of current interest include the use of exact inequalities to obtain tight estimates of properties of large electron systems (see first publication below), controlled dimensional reduction of particles and fluids in nanolevel enclosures of large aspect ratio (see second publication below), and self-interacting random walks on networks (see final publication below).

## Selected Publications

J.K. Percus,
"On the Trail of the 2-body Reduced Density Matrix",
Computational and Theoretical Chemistry
1003, 2-7 (2013)

J.K. Percus,
"Molecular Transport under Tight Confinement",
AIP Conference Proceedings
1579, no. 1, 79-88 (2014)

O.E. Percus and J.K. Percus,
"The Maximum of a Symmetric Next Neighbor Walk on the Non-Negative Integers",
Journal of Applied Probability
51, 162-173 (2014)