CONSTRUCTIVE APPROACH: ANALYSIS, ALGORITHMS AND APPLICATIONS

Operation co-funded by EU cohesion policy (European Regional Development Fund (ERDF)) under the programme Multi-regional Spain - ERDF (2014ES16RFOP002), managing authority: Subdirección General de Gestión del FEDER, de la Dirección General de Fondos Europeos del Ministerio de Hacienda.. The source names no beneficiary for this operation. Location: Almería Province (NUTS ES611); Spain. Budget: total eligible expenditure EUR 72,600; EU co-financing EUR 58,080 (co-financing rate 80%), as stated by the source. Runs 2018-01-01 to 2022-09-30. Source: Kohesio, EU cohesion policy projects managed by national and regional authorities (not CORDIS); selected because its summary names quantum technology. Summary from Kohesio (English machine translation by the source): THIS PROJECT COMBINES BOTH AMBITIOUS GOALS IN FUNDAMENTAL RESEARCH ON ORTHOGONAL POLYNOMIALS, SPECIAL FUNCTIONS AND THEIR ANALYTIC AND STRUCTURAL PROPERTIES, WITH THE APPLICATIONS OF THIS KNOWLEDGE IN OTHER BRANCHES OF MATHEMATICS (STOCHASTIC PROCESSES, COMBINATORICS, NUMERICAL ANALYSIS), PHYSICS (STATISTICAL PHYSICS, INTEGRABLE SYSTEMS, QUANTUM MECHANICS, QUANTUM RANDOM WALKS, QUANTUM COMPUTATION), AND TECHNOLOGY (SIGNAL PROCESSING AND DIAGNOSTIC TOOLS IN OPHTHALMOLOGY, WITH APPLICATIONS IN CLINICAL PRACTICE). SOME OF THE PROBLEMS TO BE TACKLED ARE: 1. FURTHER CONTRIBUTIONS TO GENERAL ORTHOGONAL POLYNOMIALS (OP), MULTIPLE OP, AND RATIONAL APPROXIMATION, INCLUDING THE PROPERTIES OF POLYNOMIALS SATISFYING NON-STANDARD ORTHOGONALITY CONDITIONS, THEIR CONNECTIONS WITH DIFFERENT BRANCHES OF MATHEMATICS AND MATHEMATICAL PHYSICS, AND NEW INTERFACES BETWEEN OP ON THE REAL LINE (OPRL) AND ON THE UNIT CIRCLE (OPUC). 2. ASYMPTOTIC METHODS FOR OP, INCLUDING THE DEVELOPMENT OF THE RIEMANN-HILBERT ASYMPTOTIC ANALYSIS AND ITS APPLICATIONS TO THE STUDY OF CRITICAL PHENOMENA RELATED TO NON-LINEAR SPECIAL FUNCTIONS; ASYMPTOTIC ANALYSIS OF POLYNOMIALS OF NON-STANDARD ORTHOGONALITY (SOBOLEV, HERMITE-PADE). 3. ANALYSIS OF EXTREMAL PROBLEMS IN LOGARITHMIC POTENTIAL THEORY, IN PARTICULAR, SADDLE POINTS OF ENERGY FUNCTIONALS ON THE PLANE FOR VECTOR MEASURES, CONNECTED TO SEVERAL OBJECT FROM THE GEOMETRIC FUNCTION THEORY AND NON-LINEAR PHENOMENA SUCH AS LAPLACIAN GROWTH. 4. GENERALIZATIONS OF SCHUR FUNCTION THEORY VIA ABSTRACT FIRST RETURN GENERATING FUNCTIONS (FR-FUNCTIONS), AND APPLICATIONS TO OP, HARMONIC ANALISIS AND OPERATOR THEORY 5. APPLICATIONS OF NEWLY DEVELOPED TOOLS TO THE STUDY OF MULTIPARTICLE DIFFUSION PROCESSES AND RANDOM MATRICES, THEIR POSSIBLE PHASE TRANSITIONS, AS WELL AS NEW INSIGHTS INTO CLASSICAL MARKOV PROCESSES. 6. FURTHER DEVELOPMENT OF THE OP APPROACH TO QUANTUM RANDOM WALKS (QRW), STARTED BY THIS TEAM, VIA SCHUR FUNCTIONS AS A TOOL TO STUDY THE DYNAMICS AND [shortened; the full text is on the Kohesio page]

Original source.

Source: Kohesio (EU cohesion policy projects), European Commission, Directorate-General for Regional and Urban Policy (DG REGIO). Retrieved 2026-10-21. Licence: CC0 1.0 (Cohesion Open Data Platform, dataset 2014-2020 Kohesio projects). Selected metadata, adapted presentation; the publisher's record is authoritative. No endorsement by the source is implied. Licence: public domain dedication (CC0 1.0).

AI-assisted summary: The project, co-funded by the EU, focuses on research of orthogonal polynomials and their applications in mathematics, physics, and technology, including quantum mechanics and quantum computation. It runs from 2018 to 2022 in Almería Province, Spain, with a total budget of EUR 72,600. Suggested technology pillar: enabling. Generated by AI from the public source text; it may contain errors and the original source is authoritative.