J. Percus

发表

Introduction To Modern Statistical Mechanics

D. Chandler, J. Percus, 1987 .

The reduced density matrix method for electronic structure calculations and the role of three-index representability conditions.

M. Overton, Mituhiro Fukuda, J. Percus, 2004, The Journal of chemical physics.

Predicting the size of the T-cell receptor and antibody combining region from consideration of efficient self-nonself discrimination.

A. Perelson, J. Percus, O. E. Percus, 1993, Proceedings of the National Academy of Sciences of the United States of America.

Modified Bayes technique in sequential clinical trials.

J. Percus, O. E. Percus, 1984, Computers in biology and medicine.

Reduction of the N‐Particle Variational Problem

J. Percus, C. Garrod, 1964 .

Variational calculation of second-order reduced density matrices by strong N-representability conditions and an accurate semidefinite programming solver.

Mituhiro Fukuda, J. Percus, K. Fujisawa, 2008, The Journal of chemical physics.

Optimal viral production

A. Perelson, J. Percus, M. Gilchrist, 2003, Bulletin of mathematical biology.

Approximations of the generalized Fick-Jacobs equation.

J. Percus, P. Kalinay, 2008, Physical review. E, Statistical, nonlinear, and soft matter physics.

The Inverse Simpson Paradox (How To Win Without Overtly Cheating)

J. Percus, O. E. Percus, 2008, 0801.4522.

Boundary behavior of quantum Green's functions

J. Percus, P. Kalinay, L. Šamaj, 2002, math-ph/0210004.

Hard-sphere fluids in very narrow cylindrical pores

K. K. Mon, J. Percus, 2000 .

On the stationary state analysis of reaction-diffusion mechanisms for biological pattern formation.

H L Frisch, S A Newman, H. Frisch, 1988, Journal of theoretical biology.

Mathematical models in developmental biology

J. Percus, S. Childress, 1978 .

The distribution of viral blips observed in HIV-1 infected patients treated with combination antiretroviral therapy

A. Perelson, J. Percus, D. Ho, 2003, Bulletin of mathematical biology.

Elastic scattering of relativistic electrons by screened atomic nuclei

J. Percus, N. Sherman, Shin-R Lin, 1963 .

On Clifford Numbers, Dirac and Relativistic Hamilton‐Jacobi Equations

J. Percus, N. L. Petrakopoulos, 1971 .

The T1 and T2 Representability Conditions

J. Percus, Zhengji Zhao, B. Braams, 2007 .

ONE‐DIMENSIONAL MODELS OF ANISOTROPIC FLUIDS *

J. Lebowitz, J. Percus, 1983 .

Time series transformations in clocked queueing networks

J. Percus, O. E. Percus, 1991 .

A Random Walk to Fundamental Measure Theory—A Mini-review at a Personal Level

J. Percus, 2013 .

Statistical Thermodynamics of Nonuniform Fluids

J. Lebowitz, J. Percus, 1963 .

Some Remarks on Pattern Formation in Vertebrate Embryology

J. Percus, 2019, Journal of Statistical Physics.

Mapping of diffusion in a channel with soft walls.

J. Percus, P. Kalinay, 2011, Physical review. E, Statistical, nonlinear, and soft matter physics.

Corrections to the Fick-Jacobs equation.

J. Percus, P. Kalinay, 2006, Physical review. E, Statistical, nonlinear, and soft matter physics.

Implicit density-functional theory

J. Percus, B. Liu, 2006, physics/0604128.

Model derived reduced density matrix restrictions for correlated fermions

J. Percus, Joel H. Sebold, 1996 .

Particle-hole technique in classical statistical mechanics

J. Percus, M. Liao, 1985 .

Mathematics of Genome Analysis: Bibliography

Jerome K. Percus, J. Percus, 2001 .

Self-diffusion of fluids in narrow cylindrical pores

Jerome K. Percus, K. K. Mon, J. Percus, 2002 .

Normal and anomalous diffusion in highly confined hard disk fluid mixtures.

J. Percus, C. Ball, R. Bowles, 2009, The Journal of chemical physics.

Anomalous self-diffusion for one-dimensional hard cores

J. Percus, 1974 .

Duality for Random Sequential Adsorption on a Lattice

Jerome K. Percus, Y. Fan, J. Percus, 1992, Combinatorics, Probability and Computing.

Phase Space Reduction of the One-Dimensional Fokker-Planck (Kramers) Equation

Jerome K. Percus, J. Percus, P. Kalinay, 2012, 1204.1145.

Stretched Markov nature of single-file self-dynamics.

J. Percus, P. Kalinay, 2007, Physical review. E, Statistical, nonlinear, and soft matter physics.

semidefinite programming approach to electronic structure

Michael L. Overton, Jerome K. Percus, Shidong Jiang, 1999 .

On the Wechsler de Souza discussion

Jerome K. Percus, J. Percus, 1983, Pattern Recognit..

PROBABILITY BOUNDS ON THE SUM OF INDEPENDENT NONIDENTICALLY DISTRIBUTED BINOMIAL RANDOM VARIABLES

Jerome K. Percus, Ora E. Percus, J. Percus, 1985 .

Kinetic theory and statistical mechanics

Jerome K. Percus, J. Percus, 1970 .

Systems in Stochastic Equilibrium (Peter Whittle)

Jerome K. Percus, J. Percus, 1989, SIAM Rev..

Mathematics of Genome Analysis: Index

Jerome K. Percus, J. Percus, 2001 .

Statistical approach to the domain of action of collective co-ordinates in the many body problem

J. Percus, G. Yevick, 1957 .

« Dynamical » lagrangian for the many body problem

J. Percus, G. Yevick, 1957 .

A functional relation among the pair correlations of the two-dimensional one-component plasma

J. Percus, L. Šamaj, J. K. Percus, 1995 .

CURRENT PROBLEMS IN STATISTICAL MECHANICS

J. Percus, 1964 .

Equation of state for hard-sphere fluid in restricted geometry.

K. K. Mon, J. Percus, I. Kamenetskiy, 2004, The Journal of chemical physics.

On Tagged Particle Dynamics in Highly Confined Fluids

J. Percus, 2010 .

CLASSICAL FLUID DYNAMICS UNDER MOLECULAR SCALE CONFINEMENT

J. Percus, J. K. Percus, 2009 .

Pore-Size Dependence of Quasi-One-Dimensional Single-File Diffusion Mobility†

J. Percus, A. Mon, 2007 .

A generalization of the one-dimensional δ-function Bose gas

J. Percus, G. Ord, 1989 .

Reinforced Brownian Motion: A Prototype

J. Percus, O. E. Percus, 2014, Journal of Statistical Physics.

Analysis of Classical Statistical Mechanics by Means of Collective Coordinates

Jerome K. Percus, J. Percus, George J. Yevick, 1958 .

Technical Literature Digest M. H. Smith, Associate Editor

J. Percus, 1963 .

Approximation Methods in Classical Statistical Mechanics

Jerome Percus, J. Percus, 1962 .

Equilibrium state of a classical fluid of hard rods in an external field

Jerome Percus, J. Percus, 1976 .

The stress tensor for nonlocal field equations

J. Percus, 1996 .

Ensemble Dependence of Fluctuations with Application to Machine Computations

Jerome K. Percus, Joel L. Lebowitz, L. Verlet, 1967 .

Mean field and the confined single homopolymer

J. Percus, S. Pasquali, 2008, 0806.4051.

Mean field and the confined single homopolymer

J. Percus, S. Pasquali, 2008, 0806.4051.

Hopping times of two hard disks diffusing in a channel.

K. K. Mon, J. Percus, 2006, The Journal of chemical physics.

Mapping a homopolymer onto a model fluid.

J. Percus, S. Pasquali, 2006, The Journal of chemical physics.

Stiff polymer in monomer ensemble.

H. Frisch, J. Percus, K. Müller-Nedebock, 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

Homopolymers with Intrachain Interactions

J. Percus, 2002 .

Single homopolymers in the relative density representation.

H. Frisch, J. Percus, 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.

Vagaries of density functional theory of the liquid-vapor interface

J. Percus, 1991 .

Mean Spherical Model for Lattice Gases with Extended Hard Cores and Continuum Fluids

J. Lebowitz, J. Percus, 1966 .

HARD-CORE INSERTION IN THE MANY-BODY PROBLEM

J. Percus, G. Yevick, 1964 .

Classical path approximation for one‐electron Green’s function in a magnetic field and the density functional model

J. Percus, Shiwei Li, 1990 .

Model for density variation at a fluid surface

Jerome Percus, J. Percus, 1976 .

A recursive density functional formalism for nonuniform fluids

J. Percus, Michael Q. Zhang, 1990 .

Inhomogeneous Ising model on a multiconnected network

J. Percus, Michael Q. Zhang, 1989 .

Direct correlations of the capillary wave model and construction of the free energy density functional for the liquid–vapor interface system

J. Percus, Michael Q. Zhang, 1989 .

How to Win Without Overtly Cheating: The Inverse Simpson Paradox

J. Percus, O. E. Percus, 2010 .

Can Two Wrongs Make a Right? Coin-Tossing Games and Parrondo’s Paradox

Ora E. Percus, Jerome Percus, J. Percus, 2002 .

Extended criterion for comparison of empirical distributions

J. Percus, O. E. Percus, 1970, Journal of Applied Probability.

Two-dimensional one-component plasma at coupling Γ=4: Numerical study of pair correlations

J. Percus, M. Kolesik, L. Šamaj, 1994 .

The Maximum of a Symmetric Next Neighbor Walk on the Nonnegative Integers

Ora E. Percus, Jerome K. Percus, J. Percus, 2013, Journal of Applied Probability.

Space Temperature Correlations in Quantum Statistical Mechanics

J. Percus, W. Kunkin, 2015 .

Confined fluids – variations on a mean spherical theme

J. Percus, 2011 .

Free energy of a planar two‐phase interface

J. Percus, 1984 .

Fluctuation corrections to the mean field description of a nonuniform fluid

J. Percus, 1982 .

Reduced Density Matrices of Energy Eigenstates

J. Percus, C. Garrod, M. Rosina, 1969 .

Polarized wave functions for a few-body model nucleus

J. Percus, S. Aranoff, 1967 .

The role of model systems in the few‐body reduction of the N‐fermion problem

J. Percus, 1978 .

Asymptotic Behavior of the Radial Distribution Function

J. Lebowitz, J. Percus, 1963 .

Interpolation Method for the Many‐Body Problem

J. Percus, L. Kijewski, 1967 .

Entropy of a non-uniform one-dimensional fluid

J. Percus, 1989 .

One-dimensional classical fluid with nearest-neighbor interaction in arbitrary external field

J. Percus, 1982 .

Some aspects of the wetting transition1

J. Percus, 1987 .

One More Technique for the Dimer Problem

Jerome Percus, J. Percus, 1969 .

Overcomplete density functional description

J. Percus, 1998 .

Auxiliary Field Representation of Fermion Kinetic Energy Density Functional **Following presentation at Density Functional International Conference, Curie Institute, Paris 1995

J. Percus, 1998 .

The effective field approximation for Ising spin glasses on simply connected lattices

J. Percus, Guihua Zhang, 1991 .

Simple Hamiltonians which exhibit drastic failures by variational determination of the two-particle reduced density matrix with some well known N-representability conditions.

Mituhiro Fukuda, J. Percus, M. Yamashita, 2006, The Journal of chemical physics.

The usefulness of restrictions for variational ground state lower bounds of a simple quantum spin lattice

J. Percus, Joel H. Sebold, 1995 .

Large-scale semidefinite programs in electronic structure calculation

Michael L. Overton, Makoto Yamashita, Jerome K. Percus, 2007, Math. Program..

Pair reduction of a pair-interacting simple Fermion fluid* (adrift in a sea of loose ends)

J. Percus, 2016 .

Griffiths Inequalities for Fermion Systems

J. Percus, 1987 .

Sphericalized Molecular Interactions a

J. Percus, 1985 .

Equivalent potentials for equations of state for fluids of nonspherical molecules

J. Lebowitz, J. Percus, G. O. Williams, 1984 .

Thermodynamics of homonuclear diatomic fluids from the angular median potential

J. Lebowitz, J. Percus, E. Waisman, 1984 .

Correlation inequalities for Ising spin lattices

Jerome Percus, J. Percus, 1975 .

GAUGE FIELD OPTIMIZATION OF CLASSICAL FLUID EXPANSIONS

J. Percus, L. Šamaj, 1999 .

New collective modes of interaction nature in inhomogeneous Ising networks

J. Percus, L. Šamaj, 1993 .

Some travelling wave reaction diffusion problems

H. Frisch, J. Percus, R. Gianotti, 1989 .

Nonlinear aspects of chemotaxis

Jerome Percus, Stephen Childress, J. Percus, 1981 .

Models for Queue Length in Clocked Queueing Networks

Ora E. Percus, Jerome Percus, J. Percus, 2018 .

Lower Bound Aspects of Fermion Density Functionals

J. Percus, 1992 .

Free energy models for nonuniform classical fluids

Jerome Percus, J. Percus, 1988 .

High dimensionality as an organizing device for classical fluids.

H L Frisch, H. Frisch, J. Percus, 1999, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

Thermodynamic properties of small systems

Jerome K. Percus, Joel L. Lebowitz, J. Lebowitz, 1961 .

VARIATIONAL PRINCIPLES FOR EXPECTATIONS.

J. Percus, S. Aranoff, 1968 .

A model of cell sorting.

D. Sulsky, J. Percus, S. Childress, 1984, Journal of theoretical biology.

Nonuniform fluids in the grand canonical ensemble

J. Percus, 2009 .

Nonuniform classical fluid mixture in one-dimensional space with next neighbor interactions

J. Percus, 1997 .

Nonuniform van der Waals theory

J. Percus, M. Kiessling, 1995 .

The statistical mechanics of inhomogeneous hard rod mixtures

H. T. Davis, J. K. Percus, J. Percus, 1989 .

Sphericalization of nonspherical interactions

J. Lebowitz, J. Percus, 1983 .

Binary nonadditive hard-sphere mixtures at high dimension

H. Frisch, J. Percus, H. Carmesin, 1991 .

Integral Equations and Inequalities in the Theory of Fluids

J. Lebowitz, J. Percus, 1963 .

Time evolution of the total distribution function of a one-dimensional system of hard rods

J. Lebowitz, J. Percus, J. Sykes, 1968 .

Kinetic Equations and Density Expansions: Exactly Solvable One-Dimensional System

J. Lebowitz, J. Percus, 1967 .

Kinetic-Equation Approach to Time-Dependent Correlation Functions

J. Lebowitz, J. Percus, J. Sykes, 1969 .

Test of Density Functional Approximation for an Atom in a Strong Magnetic Field

J. Percus, Shiwei Li, 1991 .

STRING MATCHING FOR THE NOVICE

J. Percus, O. E. Percus, 1994 .

Spatial Structure of a Fermion Fluid a

J. Percus, 1987 .

On the orientational properties of some one-dimensional model systems

J. Lebowitz, J. Percus, J. Talbot, 1987 .

Projection of two-dimensional diffusion in a narrow channel onto the longitudinal dimension.

J. Percus, P. Kalinay, 2005, The Journal of chemical physics.

Exact Dimensional Reduction of Linear Dynamics: Application to Confined Diffusion

J. Percus, P. Kalinay, 2006 .

Extended Fick-Jacobs equation: variational approach.

J. Percus, P. Kalinay, 2005, Physical review. E, Statistical, nonlinear, and soft matter physics.

Mapping of diffusion in a channel with abrupt change of diameter.

J. Percus, P. Kalinay, 2010, Physical review. E, Statistical, nonlinear, and soft matter physics.

Two definitions of the hopping time in a confined fluid of finite particles.

J. Percus, P. Kalinay, 2008, The Journal of chemical physics.

Calculating the hopping times of confined fluids: two hard disks in a box.

K. K. Mon, J. Percus, R. Bowles, 2004, The Journal of chemical physics.

Publisher's Note: Corrections to the Fick-Jacobs equation [Phys. Rev. E74, 041203 (2006)]

J. Percus, P. Kalinay, 2006 .

At the boundary between reduced density-matrix and density-functional theories.

J. Percus, 2005, The Journal of chemical physics.

Hopping time of a hard disk fluid in a narrow channel.

K. K. Mon, J. Percus, 2007, The Journal of chemical physics.

Quasi One-dimensional Non-passing Self-diffusion

J. Percus, J. Yan, K.K. Mon *, 2003 .

Molecular dynamics simulation of anomalous self-diffusion for single-file fluids

K. K. Mon, J. Percus, 2003 .

How thick is a liquid-vapor interface?

J. Percus, D. Heath, 1987 .

Large-scale semidefinite programs in electronic structure calculation

M. Overton, Mituhiro Fukuda, J. Percus, 2007 .

Recursion representation of gradient expansion for free fermion ground state in one dimension

J. Percus, L. Šamaj, 1999 .

Exact Eigenfunctions of Angular Momentum by Rotational Projection

J. Percus, A. Rotenberg, 1962 .

Retention of antigen on follicular dendritic cells and B lymphocytes through complement-mediated multivalent ligand-receptor interactions: theory and application to HIV treatment.

A. Perelson, J. Percus, O. E. Percus, 2002, Mathematical biosciences.

Aspects of Classical Density Functional Theory

J. Percus, 1994 .

Structure of a liquid-vapor interface

M. Rao, J. Percus, M. Kalos, 2018 .

Large-scale semidefinite programs in electronic structure calculation

J. Percus, B. Braams, Maho Nakata, 2007, Math. Program..

Atoms in Molecules

J. Percus, Nikos Georgopoulos, 1993 .

The density profile of a fluid bounded by a soft wall @fa@f)@fb@f)

J. Percus, G. O. Williams, 1983 .

Finite-temperature density functional theory of atoms in strong magnetic fields

J. Percus, Shiwei Li, 1990 .

Density functional theory in the classical domain

J. Percus, J. K. Percus, 1996 .

The Application of Linear Programming to Competitive Bond Bidding

Jerome Percus, J. Percus, Leon Quinto, 1956 .

On the Distribution of the Number of Zero Partial Sums

J. Percus, O. E. Percus, 1969, Journal of Applied Probability.

Small population effects in stochastic population dynamics

J. Percus, 2005, Bulletin of mathematical biology.

Density functional approximations for classical fluids with long-range interactions

J. Percus, A. Nyberg, 1994 .

Exact Solution of Kinetics of a Model Classical Fluid

J. Percus, 1969 .

Dimensional reduction of integrals of orthogonal invariants

J. Percus, 1987 .

Structure of a liquid–vapor interface in the presence of a hard wall in the transition region

M. Kalos, M. Rao, B. Berne, 1979 .

Numerical investigations of a simple model of a one-dimensional fluid☆

J. Percus, J. Anderson, J. K. Steadman, 1966 .

QUASI-ONE DIMENSIONAL CLASSICAL FLUIDS

J. Percus, Q.H. Wang, 2003 .

Boundary behavior of quantum Green's functions

J. Percus, P. Kalinay, L. Šamaj, 2002, math-ph/0210004.

High‐order K‐space linear response of a noninteracting Fermion system in an external potential

J. Percus, Shiwei Li, 1991 .

Connection between elementary collective coordinates and the vlasov equation

J. Percus, G. Yevick, 1970 .

The many-body problem

J. Percus, 1963 .

Probability of Self-Nonself Discrimination

Alan S. Perelson, Jerome K. Percus, Ora E. Percus, 1992 .

Hard-sphere fluids with chemical self-potentials

J. Percus, M. Kiessling, 2009, 0910.0867.

Ja n 20 10 Hard-sphere fluids with chemical self potentials

J. Percus, M. Kiessling, 2021 .

Model grand potential for a nonuniform classical fluid

Jerome Percus, J. Percus, 1981 .

Mathematical Methods in Immunology

J. Percus, 2012 .

Long Range Correlations in a Closed System, With Applications to Nonuniform Fluids

Jerome Percus, Joel L. Lebowitz, J. Lebowitz, 2015 .