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ESAIM - Control, Optimisation and Calculus of Variations, ISSN 1292-8119, 10/2018, Volume 24, Issue 4, pp. 1489 - 1501
It is well known that the quadratic Wasserstein distance W-2(., .) is formally equivalent, for infinitesimally small perturbations, to some weighted H-1... 
Homogeneous Sobolev norm | Localization | Wasserstein distance | localization | MATHEMATICS, APPLIED | homogeneous Sobolev norm | AUTOMATION & CONTROL SYSTEMS | INEQUALITY
Journal Article
Journal of Combinatorial Theory, Series A, ISSN 0097-3165, 07/2013, Volume 120, Issue 5, pp. 1057 - 1067
A graph is edge-distance-regular when it is distance-regular around each of its edges and it has the same intersection numbers for any edge taken as a root. In... 
Generalized odd graph | Homogeneous graph | Edge-distance-regular graph | Bipartite distance-regular graph | Orthogonal polynomials | MATHEMATICS | Teoria de grafs | Matemàtiques i estadística | Matemàtica discreta | Graph theory | Grafs, Teoria de | Àrees temàtiques de la UPC
Journal Article
Transactions of the American Mathematical Society, ISSN 0002-9947, 07/2019, Volume 371, Issue 7, pp. 5023 - 5038
We generalize the Kobayashi pseudo-distance to complex manifolds which admit holomorphic bracket generating distributions. The generalization is based on... 
MATHEMATICS | holomorphic bracket generating distribution | Kobayashi pseudo-distance | flag domain | Kobayashi hyperbolicity | complex homogeneous
Journal Article
Statistics and Probability Letters, ISSN 0167-7152, 06/2018, Volume 137, pp. 54 - 62
In this paper, we study the rate of convergence in total variation distance for time continuous Markov processes, by using some and -inequalities. For... 
(In)homogeneous Markov processes | Functional inequalities | Rate of convergence | Total variation distance | STATISTICS & PROBABILITY | TIME | CHAINS | SOBOLEV INEQUALITIES | Markov processes
Journal Article
Physical Review B - Condensed Matter and Materials Physics, ISSN 1098-0121, 06/2013, Volume 87, Issue 23
We use the operator product expansion to derive exact results for the momentum distribution and the static structure factor at high momentum for a jellium... 
FREQUENCIES | PHYSICS, CONDENSED MATTER | QUANTUM FIELD-THEORY | WIGNER CRYSTAL | SHORT-RANGE CORRELATIONS | HOMOGENEOUS ELECTRON-GAS | MOMENTUM DISTRIBUTION | GREENS-FUNCTION | EXCHANGE | OPERATOR PRODUCT EXPANSIONS | LIQUIDS | Structure factor | Operators | Coulomb friction | Condensed matter | Asymptotic properties | Power law | Three dimensional | Contact
Journal Article
Studia Mathematica, ISSN 0039-3223, 2010, Volume 196, Issue 2, pp. 151 - 178
Let U-c(H) = {u : u unitary and u - 1 compact} stand for the unitary Fredholm group. We prove the following convexity result. Denote by d(infinity) the... 
Geodesic convexity | Fredholm operator | Finite trace | Rectifiable distance | Homogeneous space | C-algebra | Unitary group | CONVEXITY | SPACES | unitary group | geodesic convexity | FINITE ALGEBRA | MATHEMATICS | finite trace | rectifiable distance | SUBSPACES | homogeneous space | GEOMETRY
Journal Article
Precision Engineering, ISSN 0141-6359, 2010, Volume 34, Issue 1, pp. 113 - 123
Precision three-dimensional metrology frequently involves the measurement of common points by several three-dimensional measurement systems. These can be laser... 
Bundle adjustment | Trilateration | Triangulation | Laser tracker | Homogeneous transformation | Uncertainty ellipsoid | Mahalanobis distance | INSTRUMENTS & INSTRUMENTATION | ENGINEERING, MULTIDISCIPLINARY | NANOSCIENCE & NANOTECHNOLOGY | ENGINEERING, MANUFACTURING
Journal Article
Journal of the European Mathematical Society, ISSN 1435-9855, 2017, Volume 19, Issue 5, pp. 1589 - 1617
We prove that the Besicovitch Covering Property (BCP) holds for homogeneous distances on the Heisenberg groups whose unit ball centered at the origin coincides... 
Covering theorems | Homogeneous distances | Heisenberg groups | MATHEMATICS | MATHEMATICS, APPLIED | homogeneous distances
Journal Article
Stochastic Processes and their Applications, ISSN 0304-4149, 06/2015, Volume 125, Issue 6, pp. 2190 - 2205
Let be a sequence of i.i.d. random variables, with mean zero and variance one and let . An old and celebrated result of Prohorov (1952) asserts that converges... 
Invariance principle | Absolute continuity | Convergence in law | Convergence in total variation | INEQUALITIES | CONVERGENCE | STATISTICS & PROBABILITY | CENTRAL-LIMIT-THEOREM | Probability | Mathematics
Journal Article
Optimization, ISSN 0233-1934, 07/2019, Volume 68, Issue 7, pp. 1305 - 1319
We present an interior proximal method for solving constrained nonconvex optimization problems where the objective function is given by the difference of two... 
proximal distance | DC functions | second-order homogeneous kernels | Interior proximal methods | Bregman distances | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | DIFFERENCE | MINIMIZATION | CONVEX | CONVERGENCE | POINT ALGORITHM | Regularization | Optimization | Linearization
Journal Article
International Journal of Modern Physics A, ISSN 0217-751X, 01/2016, Volume 31, Issue 2n03, p. 1641013
We consider application of our development of Zeldovich’s ideas, presented in Ref. 1, for measurement of the cosmological angular diameter distance (ADD) in... 
Problems of Cosmology | astrophysics | homogeneous in the mean universe | Cosmology | gravitational lensing | angular diameter distance | LIGHT | PHYSICS, NUCLEAR | PHYSICS, PARTICLES & FIELDS | Universe
Journal Article
Studia Mathematica, ISSN 0039-3223, 2014, Volume 222, Issue 1, pp. 29 - 39
We compute the completely bounded Banach-Mazur distance between different finite-dimensional homogeneous Hilbertian operator spaces. 
Homogeneous operator space | Hilbertian operator space | Columns and rows | MATHEMATICS | columns and rows | homogeneous operator space
Journal Article
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