Jerome K. Percus
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American physicist and mathematician
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Why Is Jerome K. Percus Influential?
(Suggest an Edit or Addition)According to Wikipedia, Jerome Kenneth Percus was a physicist and mathematician known for important contributions to statistical physics, chemical physics, and applied mathematics. In 1958, he published with George J. Yevick a groundbreaking study on the statistical mechanics of classical liquids. They formulated an integral equation that is the foundation for several approximation methods for computing the pair correlation function, and thereby allow the derivation of thermodynamic properties from first principles.
Jerome K. Percus's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- Introduction To Modern Statistical Mechanics (1987) (2474)
- Analysis of Classical Statistical Mechanics by Means of Collective Coordinates (1958) (2049)
- Reduction of the N‐Particle Variational Problem (1964) (366)
- Nonlinear aspects of chemotaxis (1981) (362)
- Mean Spherical Model for Lattice Gases with Extended Hard Cores and Continuum Fluids (1966) (328)
- Ensemble Dependence of Fluctuations with Application to Machine Computations (1967) (313)
- Approximation Methods in Classical Statistical Mechanics (1962) (262)
- Equilibrium state of a classical fluid of hard rods in an external field (1976) (238)
- Statistical Thermodynamics of Nonuniform Fluids (1963) (223)
- The reduced density matrix method for electronic structure calculations and the role of three-index representability conditions. (2004) (204)
- Corrections to the Fick-Jacobs equation. (2006) (170)
- Predicting the size of the T-cell receptor and antibody combining region from consideration of efficient self-nonself discrimination. (1993) (161)
- Kinetic Equations and Density Expansions: Exactly Solvable One-Dimensional System (1967) (142)
- Kinetic-Equation Approach to Time-Dependent Correlation Functions (1969) (114)
- Projection of two-dimensional diffusion in a narrow channel onto the longitudinal dimension. (2005) (112)
- The role of model systems in the few‐body reduction of the N‐fermion problem (1978) (98)
- Thermodynamic properties of small systems (1961) (96)
- High dimensionality as an organizing device for classical fluids. (1999) (83)
- Anomalous self-diffusion for one-dimensional hard cores (1974) (75)
- Self-diffusion of fluids in narrow cylindrical pores (2002) (75)
- Variational calculation of second-order reduced density matrices by strong N-representability conditions and an accurate semidefinite programming solver. (2008) (73)
- Elastic scattering of relativistic electrons by screened atomic nuclei (1963) (70)
- Large-scale semidefinite programs in electronic structure calculation (2007) (66)
- One-dimensional classical fluid with nearest-neighbor interaction in arbitrary external field (1982) (64)
- The statistical mechanics of inhomogeneous hard rod mixtures (1989) (63)
- Extended Fick-Jacobs equation: variational approach. (2005) (62)
- Correlation inequalities for Ising spin lattices (1975) (60)
- Model for density variation at a fluid surface (1976) (60)
- Time evolution of the total distribution function of a one-dimensional system of hard rods (1968) (58)
- One More Technique for the Dimer Problem (1969) (58)
- Sphericalization of nonspherical interactions (1983) (53)
- Approximations of the generalized Fick-Jacobs equation. (2008) (53)
- A model of cell sorting. (1984) (52)
- Asymptotic Behavior of the Radial Distribution Function (1963) (51)
- Model grand potential for a nonuniform classical fluid (1981) (47)
- Exact Dimensional Reduction of Linear Dynamics: Application to Confined Diffusion (2006) (46)
- HARD-CORE INSERTION IN THE MANY-BODY PROBLEM (1964) (46)
- Mathematics of Genome Analysis (2001) (44)
- On the stationary state analysis of reaction-diffusion mechanisms for biological pattern formation. (1988) (43)
- Integral Equations and Inequalities in the Theory of Fluids (1963) (36)
- Long Range Correlations in a Closed System, With Applications to Nonuniform Fluids (2015) (36)
- Optimal viral production (2003) (32)
- One-dimensional Ising model in arbitrary external field (1977) (31)
- Structure of a liquid–vapor interface in the presence of a hard wall in the transition region (1979) (31)
- Mapping of diffusion in a channel with abrupt change of diameter. (2010) (31)
- The distribution of viral blips observed in HIV-1 infected patients treated with combination antiretroviral therapy (2003) (30)
- Calculating the hopping times of confined fluids: two hard disks in a box. (2004) (27)
- Retention of antigen on follicular dendritic cells and B lymphocytes through complement-mediated multivalent ligand-receptor interactions: theory and application to HIV treatment. (2002) (27)
- Random sequential adsorption on a ladder (1992) (26)
- Mapping of diffusion in a channel with soft walls. (2011) (25)
- Free energy models for nonuniform classical fluids (1988) (25)
- Hard-sphere fluids in very narrow cylindrical pores (2000) (24)
- Hopping times of two hard disks diffusing in a channel. (2006) (23)
- At the boundary between reduced density-matrix and density-functional theories. (2005) (23)
- Exact Solution of Kinetics of a Model Classical Fluid (1969) (23)
- Normal and anomalous diffusion in highly confined hard disk fluid mixtures. (2009) (23)
- Shielded distribution approximation for a wall-bounded classical fluid (1980) (22)
- Equation of state for hard-sphere fluid in restricted geometry. (2004) (22)
- Equivalent potentials for equations of state for fluids of nonspherical molecules (1984) (21)
- Thermodynamics of homonuclear diatomic fluids from the angular median potential (1984) (21)
- Virial expansion and liquid–vapor critical points of high dimension classical fluids (1999) (21)
- Probability of Self-Nonself Discrimination (1992) (20)
- The T1 and T2 Representability Conditions (2007) (18)
- Duration of an intermittent episode of viremia (2005) (18)
- PROBABILITY BOUNDS ON THE SUM OF INDEPENDENT NONIDENTICALLY DISTRIBUTED BINOMIAL RANDOM VARIABLES (1985) (17)
- Can Two Wrongs Make a Right? Coin-Tossing Games and Parrondo’s Paradox (2002) (16)
- CURRENT PROBLEMS IN STATISTICAL MECHANICS (1964) (16)
- Entropy of a non-uniform one-dimensional fluid (1989) (15)
- VARIATIONAL PRINCIPLES FOR EXPECTATIONS. (1968) (15)
- Nonuniform van der Waals theory (1995) (15)
- Stretched Markov nature of single-file self-dynamics. (2007) (15)
- The Application of Linear Programming to Competitive Bond Bidding (1956) (14)
- Higher spin one-dimensional Ising lattice in arbitrary external field (1982) (14)
- On the orientational properties of some one-dimensional model systems (1987) (14)
- Molecular dynamics simulation of anomalous self-diffusion for single-file fluids (2003) (14)
- Recursion representation of gradient expansion for free fermion ground state in one dimension (1999) (13)
- New approach to the many-body problem (1956) (13)
- PAULI-PRINCIPLE RESTRICTION ON THE TWO-MATRIX OF BOPP FOR ATOMIC GROUND STATES. (1969) (13)
- Entropy of a one-dimensional mixed lattice gas (1990) (13)
- The many-body problem (1963) (12)
- Aspects of Classical Density Functional Theory (1994) (11)
- Quasi One-dimensional Non-passing Self-diffusion (2003) (11)
- Reduced Density Matrices of Energy Eigenstates (1969) (11)
- Hopping time of a hard disk fluid in a narrow channel. (2007) (11)
- Two-dimensional one-component plasma at coupling Γ=4: Numerical study of pair correlations (1994) (10)
- Two-dimensional one-component plasma at coupling Γ=4: Numerical study of pair correlations (1994) (10)
- Nonuniform classical fluid mixture in one-dimensional space with next neighbor interactions (1997) (10)
- On Tagged Particle Dynamics in Highly Confined Fluids (2010) (10)
- Two definitions of the hopping time in a confined fluid of finite particles. (2008) (10)
- Spherical reference systems for nonspherical hard interactions (1984) (9)
- Some aspects of the wetting transition1 (1987) (9)
- LOWER BOUNDS TO THE MANY-BODY PROBLEM USING DENSITY MATRICES. (1967) (9)
- The quasi-one dimensional hard square gas (1990) (9)
- Dynamical considerations on a new approach to the many-body problem (1956) (9)
- Implicit density-functional theory (2006) (9)
- Exact free energy functionals for non-simply-connected lattices (1994) (8)
- Long range correlations in linear congruential generators (1988) (8)
- The intrinsic liquid–vapour interface (1981) (8)
- SOME RESTRICTIONS ON THE USE OF REDUCED DENSITY MATRICES IN ATOMIC CALCULATIONS. (1970) (8)
- Binary nonadditive hard-sphere mixtures at high dimension (1991) (8)
- Phase Space Reduction of the One-Dimensional Fokker-Planck (Kramers) Equation (2012) (8)
- Some solvable models of nonuniform classical fluids (1986) (8)
- Mathematical models in developmental biology (1978) (8)
- Collective modes in Ising lattices (1989) (8)
- How thick is a liquid-vapor interface? (1987) (8)
- The stress tensor for nonlocal field equations (1996) (8)
- A note on extension of the lagrange inversion formula (1964) (7)
- Dimensional reduction of integrals of orthogonal invariants (1987) (7)
- Inhomogeneous Ising model on a multiconnected network (1989) (7)
- Simple Hamiltonians which exhibit drastic failures by variational determination of the two-particle reduced density matrix with some well known N-representability conditions. (2006) (7)
- Lower-bound method for atomic calculations (1970) (7)
- Small population effects in stochastic population dynamics (2005) (6)
- Spatial Structure of a Fermion Fluid a (1987) (6)
- Publisher's Note: Corrections to the Fick-Jacobs equation [Phys. Rev. E74, 041203 (2006)] (2006) (6)
- Soluble stochastic dynamics of quasi-one-dimensional single-file fluid self-diffusion. (2005) (6)
- Model derived reduced density matrix restrictions for correlated fermions (1996) (6)
- Pore-Size Dependence of Quasi-One-Dimensional Single-File Diffusion Mobility† (2007) (6)
- Stiff polymer in monomer ensemble. (2002) (6)
- Free energy of a planar two‐phase interface (1984) (6)
- The Maximum of a Symmetric Next Neighbor Walk on the Nonnegative Integers (2013) (5)
- Vagaries of density functional theory of the liquid-vapor interface (1991) (5)
- « Dynamical » lagrangian for the many body problem (1957) (5)
- Extended criterion for comparison of empirical distributions (1970) (5)
- Kinetic theory and statistical mechanics (1970) (5)
- Numerical investigations of a simple model of a one-dimensional fluid☆ (1966) (5)
- Modified Bayes technique in sequential clinical trials. (1984) (4)
- Statistical approach to the domain of action of collective co-ordinates in the many body problem (1957) (4)
- The succession problem (1975) (4)
- A recursive density functional formalism for nonuniform fluids (1990) (4)
- Classical path approximation for one‐electron Green’s function in a magnetic field and the density functional model (1990) (4)
- Direct correlations of the capillary wave model and construction of the free energy density functional for the liquid–vapor interface system (1989) (4)
- One-dimensional random walk with phase transition (1981) (4)
- Energetics of a discrete interface (1988) (4)
- Size-asymmetric primitive model at low temperature: description of ion pairing and location of the critical point. (2005) (4)
- Particle-hole technique in classical statistical mechanics (1985) (4)
- Thermodynamics of interfacial oscillations in two-dimensional systems (1984) (4)
- Phase transition in a four-dimensional random walk with application to medical statistics (1983) (4)
- Statistical mechanics of a positron in a classical fluid (1993) (4)
- STRING MATCHING FOR THE NOVICE (1994) (4)
- Mathematical Methods in Immunology (2012) (4)
- On the trail of the 2-body reduced density matrix (2013) (3)
- Effect of an external field on a modification of Luttinger's Many-Fermion model (1987) (3)
- The density profile of a fluid bounded by a soft wall @fa@f)@fb@f) (1983) (3)
- Polarized wave functions for a few-body model nucleus (1967) (3)
- The HIV pandemic (2012) (3)
- High‐order K‐space linear response of a noninteracting Fermion system in an external potential (1991) (3)
- Time series transformations in clocked queueing networks (1991) (3)
- Homopolymers with Intrachain Interactions (2002) (3)
- An Expanded Set of Correlation Tests for Linear Congruential Random Number Generators (1992) (3)
- Single homopolymers in the relative density representation. (2001) (3)
- Melting transition of Lennard-Jones molecules (1967) (3)
- Approximate Solution of a Finite Many-Particle System with Translational Invariance. I (1964) (3)
- Overcomplete density functional description (1998) (3)
- Upper Bounds for Errors of Expectations in the Few-Body Problem (1967) (3)
- Tree Structures in Immunology (1989) (3)
- Finite-temperature density functional theory of atoms in strong magnetic fields (1990) (3)
- New collective modes of interaction nature in inhomogeneous Ising networks (1993) (3)
- Random Walk and the Comparison of Two Empirical Distributions (1970) (3)
- A Random Walk to Fundamental Measure Theory—A Mini-review at a Personal Level (2013) (3)
- How to Win Without Overtly Cheating: The Inverse Simpson Paradox (2010) (3)
- Further comment on ``Eigenvalue spectrum of the independent-fermion kinetic-energy kernel'' (1999) (3)
- On Clifford Numbers, Dirac and Relativistic Hamilton‐Jacobi Equations (1971) (3)
- Combinatorial methods in developmental biology (1969) (3)
- On the Bechhofer–Kulkarni Stopping Rule for Sequential Clinical Trials (1984) (3)
- On the Distribution of the Number of Zero Partial Sums (1969) (2)
- The statistics of words on rings (2006) (2)
- Interaction-driven modification of local response (1990) (2)
- The role of inequalities in the analysis of many-body systems† (2010) (2)
- Intrinsic relations in the structure of linear congruential generators modulo 2β (1992) (2)
- The usefulness of restrictions for variational ground state lower bounds of a simple quantum spin lattice (1995) (2)
- Hard-sphere fluids with chemical self-potentials (2009) (2)
- Mapping a homopolymer onto a model fluid. (2006) (2)
- Nonuniform fluids in the grand canonical ensemble (2009) (2)
- A generalization of the one-dimensional δ-function Bose gas (1989) (2)
- Matrix analysis of oriented graphs with irreducible feedback loops (1955) (2)
- Boundary behavior of quantum Green's functions (2002) (2)
- Queue length distributions in a markov model of a multistage clocked queueing network (1990) (2)
- Piecewise Homogeneous random walk with a moving boundary (1987) (2)
- Elementary Properties of Clock-Regulated Queues (2018) (1)
- Auxiliary Field Representation of Fermion Kinetic Energy Density Functional **Following presentation at Density Functional International Conference, Curie Institute, Paris 1995 (1998) (1)
- Control of immune response (2012) (1)
- The effective field approximation for Ising spin glasses on simply connected lattices (1991) (1)
- Book review:Molecular theory of capillarity (1984) (1)
- Molecular transport under tight confinement (2014) (1)
- Classical liquid-gas interface in thermal equilibrium (1995) (1)
- Duality for Random Sequential Adsorption on a Lattice (1992) (1)
- Mean field and the confined single homopolymer (2008) (1)
- Structure of condensed phase configurations (1998) (1)
- The structure of density functionals (1994) (1)
- One-dimensional random walk in alternating homogeneous domains (1987) (1)
- Expanded Density Functionals (1996) (1)
- Numerical calculations for C2+ using reduced density matrices (2009) (1)
- Counting and Enumeration on a Set (1971) (1)
- Lower Bound Aspects of Fermion Density Functionals (1992) (1)
- Connection between elementary collective coordinates and the vlasov equation (1970) (1)
- Some results concerning clock-regulated queues (1988) (1)
- Reinforced Brownian Motion: A Prototype (2014) (1)
- Inhomogeneous random sequential adsorption on a lattice (1993) (1)
- Mathematics of Genome Analysis: Preface (2001) (0)
- Quantifying the immune response (assays) (2012) (0)
- QUASI-ONE DIMENSIONAL CLASSICAL FLUIDS (2003) (0)
- Modeling cell-mediated response (2012) (0)
- Collective Modes in an Inhomogeneous Electron Gas (2015) (0)
- Semidefinite programs in electronic structure calculation(Mathematics of Optimization : Methods and Practical Solutions) (2005) (0)
- Free energy, entropy, and lattice gas representations (2000) (0)
- Electronic structure calculations based on the two-body reduced density matrix, semidefinite programming, and three-index representability conditions (2005) (0)
- Supplementary conditions in quantized linear systems (1955) (0)
- Mathematics of Genome Analysis: Recomposing DNA (2001) (0)
- Pair reduction of a pair-interacting simple Fermion fluid* (adrift in a sea of loose ends) (2016) (0)
- The Inverse Simpson Paradox (How To Win Without Overtly Cheating) (2008) (0)
- Extrapolation of Threshold-Limited Null Measurement Frequencies (2008) (0)
- A Class of Solvable Models of Fermion Fluids (1988) (0)
- Technical Literature Digest M. H. Smith, Associate Editor (1963) (0)
- Semidefinite programs in electronic structure calculation (最適化数理の手法と実際 RIMS研究集会報告集) (2005) (0)
- Some travelling wave reaction diffusion problems (1989) (0)
- Mathematics of Genome Analysis: Sequence Statistics (2001) (0)
- Mathematics of Genome Analysis: Bibliography (2001) (0)
- Counting and Enumeration of a Regular Lattice (1971) (0)
- Reinforced Brownian Motion on the Half-Line (2013) (0)
- Ja n 20 10 Hard-sphere fluids with chemical self potentials (2021) (0)
- Space Temperature Correlations in Quantum Statistical Mechanics (2015) (0)
- Some Remarks on Pattern Formation in Vertebrate Embryology (2019) (0)
- Viewpoint of the virus (2012) (0)
- Mathematics of Genome Analysis: Spatial Structure and Dynamics of DNA (2001) (0)
- Quantization of multiple frequency linear systems (1954) (0)
- Jamming and dynamics in Confined Quasi-One Dimensional Systems (2005) (0)
- A new theoretical approach to 1:1 electrolytes at low temperature (2004) (0)
- Joint Statistics of Random Walk on $Z^1$ and Accumulation of Visits (2016) (0)
- Ethical Procedures in Comparative Evaluation of Drugs (2010) (0)
- [Two-phase Interfaces in Weak External Fields] (1996) (0)
- Reinforced Brownian Motion: A Prototype (2014) (0)
- Models for Queue Length in Clocked Queueing Networks (2018) (0)
- Modeling humoral immune responses (2012) (0)
- CLASSICAL FLUID DYNAMICS UNDER MOLECULAR SCALE CONFINEMENT (2009) (0)
- semidefinite programming approach to electronic structure (1999) (0)
- Implicit density-functional theory (8 pages) (2006) (0)
- Island length distribution in genome sequencing (1999) (0)
- Differential adhesion and morphogenesis (2015) (0)
- Chapter 5: The T1 and T2 representability conditions (2007) (0)
- Generating functions for a class of one-dimensional random walks (1971) (0)
- The One Body Wigner-Moyal Density for a Locally Linear Potential of Arbitrary Dimension (2015) (0)
- Reduced density matrix approach to calculation of electronic structure (1998) (0)
- Segmentation of insect embryos (2015) (0)
- Multiple Scattering Methods (1963) (0)
- Exact Bounds on Transport Coefficients (2015) (0)
- ON THE CONNECTION BETWEEN ELEMENTARY COLLECTIVE COORDINATES AND THE VLASOV EQUATION. Project CHALICE. Special Report No. 1 on Plasma Physics. (1970) (0)
- Basic facts of immunology (2012) (0)
- Some aspects of solvation (1999) (0)
- Direct Correlation Function in Space and Time (1968) (0)
- Phase Space Reduction of the One-Dimensional Fokker-Planck (Kramers) Equation (2012) (0)
- Atoms in Molecules (1993) (0)
- Mathematics of Genome Analysis: Index (2001) (0)
- The origins of movement (2015) (0)
- ASYMPTOTIC FORM OF EQUILIBRIUM DISTRIBUTION FUNCTIONS IN A FLUID AND PROPERTIES OF LOCAL-EQUILIBRIUM ENSEMBLES (1960) (0)
- A Collective Coordinate Method in the Many-Body Problem (1963) (0)
- A Method of Calculating Ground-State Properties of Many Particle Systems Using Reduced Density Matrices (2015) (0)
- Model density functionals (1989) (0)
- Griffiths Inequalities for Fermion Systems (1987) (0)
- Propagation of Strong Blast in an Atmosphere of Varying Density (2011) (0)
- Fluctuation corrections to the mean field description of a nonuniform fluid (1982) (0)
- Somite formation in vertebrates (2015) (0)
- Book review (1991) (0)
- Statistical mechanics: long-time prediction in dynamics. (1983) (0)
- Inhomogeneous Glauber dynamics and the process of crystallization of a lattice gas (1995) (0)
- Some Remarks on Pattern Formation in Vertebrate Embryology (2019) (0)
- Sphericalized Molecular Interactions a (1985) (0)
- Finite sections of toeplitz‐like matrices (1985) (0)
- ANALYSIS OF PLASMAS WITH TWO WAVELENGTHS OF INCIDENT RADIATION. (1970) (0)
- Systems in Stochastic Equilibrium (Peter Whittle) (1989) (0)
- Size Effects in the Three Dimensional Ising Lattice (2018) (0)
- Variational Studies of the Few Body Nucleus (2015) (0)
- Inadmissible Auxiliary Conditions in Quantized Linear Systems (1955) (0)
- Test of Density Functional Approximation for an Atom in a Strong Magnetic Field (1991) (0)
- Book reviews (1982) (0)
- On the Wechsler de Souza discussion (1983) (0)
- GAUGE FIELD OPTIMIZATION OF CLASSICAL FLUID EXPANSIONS (1999) (0)
- Some Remarks on the Quantization of Linear Systems. (1954) (0)
- Joint statistics of random walk on $Z^1$ and accumulation of visits@@@Joint statistics of random walk on $Z^1$ and accumulation of visits (2016) (0)
- A Random Walk to Fundamental Measure Theory—A Mini-review at a Personal Level (2012) (0)
- Confined fluids – variations on a mean spherical theme (2011) (0)
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