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Physical Review A - Atomic, Molecular, and Optical Physics, ISSN 1050-2947, 08/2010, Volume 82, Issue 2
Partition density functional theory is a formally exact procedure for calculating molecular properties from Kohn-Sham calculations on isolated fragments,... 
EXCHANGE-CORRELATION POTENTIALS | ELECTRONEGATIVITY | SOLIDS | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | SYSTEMS | CHEMICAL-REACTIVITY THEORY | OPTICS | ELECTRON-DENSITIES | CORRELATION ENERGIES | DENSITY | DENSITY FUNCTIONAL METHOD | CALCULATION METHODS | PHYSICAL PROPERTIES | ATOMIC AND MOLECULAR PHYSICS | PARTITION | POTENTIALS | VARIATIONAL METHODS | MOLECULES
Journal Article
Archive for Rational Mechanics and Analysis, ISSN 0003-9527, 3/2017, Volume 223, Issue 3, pp. 1337 - 1374
We prove an integral representation result for functionals with growth conditions which give coercivity on the space $${SBD^p(\Omega)}$$ S B D p ( Ω ) , for... 
Physics, general | Fluid- and Aerodynamics | Theoretical, Mathematical and Computational Physics | Complex Systems | Physics | Classical Mechanics | ELASTICITY | GLOBAL METHOD | MATHEMATICS, APPLIED | MECHANICS | BOUNDED DEFORMATION | APPROXIMATION | RIGIDITY | LOWER SEMICONTINUITY | RELAXATION | GAMMA-CONVERGENCE | PARTITIONS | FINITE PERIMETER | Analysis of PDEs | Mathematics
Journal Article
The Journal of Chemical Physics, ISSN 0021-9606, 05/2019, Volume 150, Issue 20, p. 204109
Journal Article
Theoretical Computer Science, ISSN 0304-3975, 07/2017, Volume 687, pp. 11 - 39
We study functional clones, which are sets of non-negative pseudo-Boolean functions (functions {0,1}k→R≥0) closed under (essentially) multiplication, summation... 
Constraint satisfaction problems | Partition functions | Functional clones | Expressibility | COUNTING CSPS | COMPLEXITY | BOLTZMANN MACHINES | ISING-MODEL | COMPUTER SCIENCE, THEORY & METHODS | HOLOGRAPHIC ALGORITHMS | Cloning | Computer Science - Discrete Mathematics
Journal Article
Journal of Mathematical Physics, ISSN 0022-2488, 10/2019, Volume 60, Issue 10, p. 103509
This work is concerned with functional properties shared by partition functions of nineteen-vertex models with domain-wall boundary conditions. In particular,... 
HYDROGEN | STATISTICS | CRYSTALS | VERTEX MODELS | 6-VERTEX MODEL | PHYSICS, MATHEMATICAL | BETHE-ANSATZ | R-MATRICES | Boundary conditions | Partitions (mathematics) | Partitions | Functional equations
Journal Article
Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, 02/2016, Volume 49, Issue 11, p. 115401
The partition function of ABJ(M) theories on the three-sphere can be regarded as the canonical partition function of an ideal Fermi gas with a non-trivial... 
spectral determinant | non-perturbative effects | ABJ(M) theories | PHYSICS, MULTIDISCIPLINARY | PHYSICS, MATHEMATICAL | Partitions | Mathematical analysis | Quantization | Determinants | Mathematical models | Spectra | Coupling | Hamiltonian functions
Journal Article
Soft Computing, ISSN 1432-7643, 05/2018, Volume 22, Issue 10, pp. 3395 - 3416
Journal Article
Physica A: Statistical Mechanics and its Applications, ISSN 0378-4371, 06/2014, Volume 403, pp. 13 - 20
Given an arbitrary probability distribution and a nondegenerate energy spectrum, so that a mean energy U can be computed, we derive the partition function Z... 
Quantum statistical mechanics | Probability theory | Quantum information | DISTRIBUTIONS | STATISTICAL-MECHANICS | PHYSICS, MULTIDISCIPLINARY | INFORMATION-THEORY | TSALLIS ENTROPY | POWER-LAW | Thermodynamics | Partitions | Functionals | Mathematical analysis | Energy distribution | Mathematical models | Entropy | Statistical mechanics
Journal Article
SIAM Journal on Mathematical Analysis, ISSN 0036-1410, 2018, Volume 50, Issue 6, pp. 6307 - 6332
In this paper we consider variational problems involving 1-dimensional connected sets in the Euclidean plane, such as the classical Steiner tree problem and... 
Convex relaxation | Γ-convergence | Gilbert-steiner problem | Geometric measure theory | Optimal partitions | Calculus of variations | MATHEMATICS, APPLIED | geometric measure theory | MINIMIZATION | calculus of variations | optimal partitions | Gilbert-Steiner problem | Gamma-convergence | convex relaxation | SCHEMES | Mathematics | Optimization and Control
Journal Article
Advances in Calculus of Variations, ISSN 1864-8258, 10/2018, Volume 11, Issue 4, pp. 335 - 339
We characterize the continuity of prototypical functionals acting on finite Caccioppoli partitions and prove that it is equivalent to convergence of the... 
continuity | 28A75 | finite partitions | Surface energies | 49Q15 | MATHEMATICS | MATHEMATICS, APPLIED | Force and energy | Functionals | Partitions | Continuity (mathematics)
Journal Article
New Journal of Physics, ISSN 1367-2630, 06/2016, Volume 18, Issue 6, p. 63024
Journal Article