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• Comments and recommendations regarding GFM scientific activities
• People
• Research
  • Publications
    • GFM Publications 2010
    • GFM Publications 2009
    • GFM Publications 2008
    • GFM Publications 2007
    • GFM publications 2003/2006
  • Postdoctoral research
  • Projects
    • Probabilistic approach to finite and infinite dimensional dynamical systems
    • Mathematical Physics
    • Eigenvalues of the Laplacian: analytic, geometric and computational aspects
    • PDE and probability in mathematical physics
  • Areas
    • Computer simulation of complex systems
    • Dynamical systems
    • Euclidean quantum mechanics
    • Feynman integrals
    • Geometric methods in probability
    • Integrable systems
    • Quantum geometry and quantum gravity
    • Spectral theory
    • Stochastic analysis
    • Topological quantum field theory
    • Industrial problems
• Events
  • Stochastic Analysis in Mathematical Physics
    • Talks
    • Program
    • SAMP 2006 poster
    • Submission of posters
    • SAMP 2006 photos
  • Conferences
    • ICMP 2003
    • Mathematics in Chemistry
    • Stochastic Analysis in Mathematical Physics
    • International Conference on Mathematical Analysis of Random Phenomena
    • Geometric Aspects of Integrable Systems
    • Infinite Dimensional Algebras and Quantum Integrable Systems II
    • XVI International Fall Workshop on Geometry and Physics
    • Colloquium António Aniceto Monteiro
    • EMS Mathematical Weekend
    • Young Researchers Symposium on Mathematical Physics
    • mathchem2006.jpg
    • Second Workshop on Quantum Gravity and Noncommutative Geometry
    • The 69th European Study Group with Industry 2009
    • 1st Porto Meeting on Mathematics for Industry
    • Chern-Simons Gauge Theory: 20 years after
    • 2nd Porto Meeting on Mathematics for Industry
    • 74th European Study Group with Industry
    • Geometry, Dynamics, Integrable Systems – GDIS 2011
    • Quantum Integrable Systems and Geometry
  • GFM seminars
    • Smooth functional derivatives in Feynman path integrals by time slicing approximation
    • On principal eigenvalue of Stokes operator in large random domain
    • Equações elípticas com expoentes variáveis de degeneração: existência, unicidade e localização de soluções
    • Representations of the Virasoro algebra and Kirillov's construction
    • Geometry and quantization of the space of flat connections on a Riemann surface
    • Deviation inequalities and law of iterated logarithm on the path space over loop groups
    • Some trace inequalities
    • Route to sychronisation in chaotic coupled map lattices
    • Spin foam models for deformed BF theories
    • Quantum integrable systems
    • The role of CH/π interaction in molecular recognition
    • Teoria de Aubry-Mather generalizada
    • Quantum Lévy Laplacian and solutions of the associated heat equation
    • Formulação da mecânica quântica não comutativa no espaço de fases e as transições comutativa e clássica
    • Quantização por deformação de sistemas confinados
    • Upper bounds for invariant eigenvalues of the Laplacian
    • Nodal sets of the Laplacian
    • A molecular jump mechanism of water reorientation
    • Homogenization of Schrödinger equation with a large periodic potential
    • Recent result on Lieb-Thirring inequalities
    • WKB analysis for nonlinear Schrödinger equations with potential
    • Hardy inequalities in tubular domains
    • Equações diferenciais estocásticas relativamente ao movimento Browniano fraccionário e ao movimento Browniano standard
    • Asymptotic behavior of the distribution of the stock price in the Hull-White model
    • Modelação simples de redes de regulação genética
    • Concentration of the Brownian bridge on Cartan-Hadamard manifolds with pinched negative sectional curvature
    • Quelques résultats récents sur la réalisation de variables aléatoires positives et l'équation de Monge-Ampère
    • Evolution equation associated with the power of the Gross Laplacian
    • Green, Brown, Chung e Probabilidade
    • Funções harmónicas do ponto de vista de V. Arnold
    • Algebraic Bethe ansatz for the elliptic quantum group E_{\tau,\eta}(so_3)
    • Problems of optimal aerodynamic resistance, billiards and optimal mass transportation
    • Invariantes de "spin-networks" mergulhadas em variedades de dimensão três
    • Position dependent non-linear Schrödinger hierarchies: involutivity, commutation relations, renormalisation and classical invariants
    • Non-Hermitian operators in quantum theory and PT-symmetry
    • Energy decreasing rearrangements of level sets preserving the domain and volume constrains
    • Hitting probabilities for systems of non-linear stochastic heat equations
    • The Libor market model
    • Uses of Brownian motion in brain imaging and neuroscience
    • Movimento Browniano em IR e equações diferenciais de 2ª ordem
    • Exit time for stable processes on unbounded domains
    • Chernoff's theorem for evolution families
    • Euler equations with non-homogeneous Navier slip boundary condition
    • 20070928-shamarova.pdf
    • 20071017-chemetov.pdf
    • Escoamentos incompressíveis no exterior de pequenos obstáculos
    • The unreasonable effectiveness of heuristic path integral expressions
    • Generalized fractional evolution equation
    • 20071219-ouerdiane.pdf
    • Hydrodynamics and the geometry of the diffeomorphisms group on the torus
    • A stochastic variational principle for the Navier-Stokes equation on the torus
    • Classical and first principles molecular dynamics simulations: applications to ionic systems
    • Bethe ansatz and Schubert calculus
    • Phase space Feynman path integrals via piecewise bicharacteristic paths and their semiclassical approximations
    • Two is company, three is a crowd ­­- truncated many-body approaches for the treatment of molecular clusters
    • Hyperfinite knots: limits of sequences of knots
    • Time-inconsistent Stochastic Control
    • Bernstein processes and optimal transport
    • 20080617-leonard.pdf
    • Natural OU-processes on Lie groups with applications to simulated annealing
    • What is the optimal shape of a pipe?
    • Isovectors for the Black-Scholes equation
    • Spin foam models and their semiclassical limits
    • Complex networks: In search for the lost space
    • Heat conduction and Fourier's law by two-stage local thermalization
    • Elementary atmospheric processes: Quantum studies of intermolecular dimer formation and intramolecular dynamics
    • Water and not-quite-water: Insights from globally optimized cluster structures
    • Hydrodynamic Limit of Particle Systems
    • Evolution equation related to the Gross Laplacian
    • 20081217-ouerdiane.pdf
    • Renormalization of quasiperiodic dynamics
    • Relativistic diffusions
    • Horizontal diffusion in C^1 path space
    • The Heat Equation on Graphs
    • Two-dimensional Markovian holonomy fields
    • 20090513-acebron.pdf
    • New algorithms in computational mathematics suited for high performance supercomputers
    • Energy drift in a non-autonomous Hamiltonian System
    • 20090529-kulish.pdf
    • Symmetries of integrable spin chains and structure of their spectra
    • 20090605-vojinovic.pdf
    • Alternative viewpoint on p-brane dynamics
    • 20090617-vuillermot.pdf
    • New Trotter-Kato Product Formulae for a Class of Time-Dependent Operators
    • Hardy's uncertainty principle and the Wigner transform
    • Hardy's uncertainty principle and the Wigner transform from the point of view of symplectic capacities
    • Spin foam perturbation theory
    • 20090914-micovic.pdf
    • 20090921-dragovic.pdf
    • Geometrization and generalization of the Kowalevski top
    • Shape analysis of eigenvalues
    • Recent Results for the Vortex-wave System
    • 20091106-antonio.pdf
    • Bethe Ansatz for deformed Gaudin model
    • Solutions of equations of viscous hydrodynamics via stochastic perturbations of inviscid flows
    • Cheeger constants, exponential growth and spectrum of planar graphs
    • Quasi-stationary distributions and diffusion models in population dynamics
    • Generalized "control" curvatures in Hamiltonian Dynamics
    • Isoperimetric estimates for nonlinear Dirichlet eigenvalues
    • Equivariant cohomology and noncommutative symmetries (quantum groups)
    • Li-Yau type gradient estimates and Harnack inequalities by stochastic analysis
    • Hermite Expansions and Itô formula
    • Mourre theory and unitary operators, application to beams and plates
    • On the mean curvature of the periodic surfaces of revolution
    • Generalized Schur-Weyl duality and symmetries of integrable spin chains
    • 20100528-manojlovic.pdf
    • Product Approximations for Solutions to Time-Dependent Schrödinger Evolution Equations in Hilbert Space
    • Chern-Simons theory, spectral flow and the SU(3) Casson invariant
    • Harmonic Representatives of Cuspidal Cohomology Classes
    • Ergodicity and rate of convergence for a non-sectorial fiber lay-down process
    • On helical flows: vanishing viscosity limit and global existence for ideal fluids
    • Matrix Jacobi-Mumford systems, discrete Neumann systems on Stiefel varieties, and the addition law on Prym varieties
    • Khinchin Theorem and Anomalous Diffusion
    • Computers and PDEs
    • Quantização de sistemas dinâmicos com constrangimentos e problema do tempo
    • Topics on General Relativity
    • O Princípio da Menor Acção e a sua aplicação à Mecânica Quântica
    • Some fully nonlinear elliptic boundary value problems with ellipsoidal free boundaries
    • Isoperimetric inequalities for the Robin Laplacian
    • The Painleve first equation and the cubic oscillator
    • Introduction to Feichtinger's Theory of Modulation Spaces (II)
    • Introduction to Feichtinger's Theory of Modulation Spaces (I)
    • Isoresonant surfaces of finite topological type
    • Verifying positivity in stochastic models that include diffusion, transport and interaction terms
    • Submanifolds with parallel mean curvature in calibrated manifolds: A variational approach
    • The asymptotic expansion of the Witten-Reshetikhin-Turaev invariants
    • A metric approach to the spectrum of hypersurfaces of the Euclidean space
    • Eigenmodes of drums and Physical Nobel Prizes
    • Spectra of large unitary matrices
    • Perelman's W-entropie for the Witten Laplacian and for the Fokker-Planck equation on Riemannian manifolds
    • Eigenvalue-Torsion Duality via Heat Kernel Methods
    • Extreme events for chaotic dynamical systems
    • Geometrical views on the Nehari manifold
    • Symmetry, heat kernels, and spectrum of infinite weighted graphs
    • Bernstein Diffusions for a Class of Linear Parabolic Partial Differential Equations
    • Stochastic algorithms for computing means of probability measures
    • Interest Rate Models, Large Deviations and the Doob Transform
    • AdS_3 correlators and Selberg integrals
    • Dispersive shock waves in 1+1 dimension, conjectures and preliminary results
    • The effective Hamiltonian in curved quantum waveguides and when it does not work
    • On random matrices and Chern-Simons theory
    • Boundary layer problem: Navier-Stokes equations and Euler equations
    • Deterministic Sets Visited by Random Paths
    • The signature of Brownian paths
    • The n\to\infty limit of NLS_n and KdV_n along homogeneous solutions
    • Lattice schemes for an elliptic SPDE with fractional noise
    • Abelian Ue(1)xUg(1) Extensions of Maxwell's Field Theory
    • Some recent results in Loop Quantum Gravity
  • Other events
    • Mini-Workshop em Sistemas Integráveis Quânticos: "Quantization of integrable structures of super-conformal algebras"
    • Mini-Workshop em Sistemas Integráveis Quânticos: "Time evolution of non-Hermitian Hamiltonian systems"
    • Mini-Workshop: "Integrable systems and algebraic curves" (part 1/2)
    • Mini-Workshop: "Integrable systems and algebraic curves" (part 2/2)
  • Mathematics Colloquia (1997)
    • Classification of projective curves
    • Théorème de Baire, séries de Fourier et séries de Taylor
    • Singularidades de Superfícies e Combinatória
    • The Axiom of Countable Choice and point-free topology
    • Ergodicité asymptotique en Analyse Stochastique
    • A hundred years of group representation
    • New integrable dynamical systems of relativistic invariance
  • Colloquia
    • Mass Problem in the Quantum Yang-Mills Theory
    • Mass Problem in the Quantum Yang-Mills Theory [poster]
    • Macroscopic Randomness
    • Macroscopic Randomness [poster]
    • Towards non-commutative integrability
    • Modeling the Systems Biology of Protein Folding (Proteostasis) in Human Health and Disease
  • Lecture series
    • Lecture series in mathematical physics / 2011
    • Lecture series on general relativity
• Reaching
• News
  • Post-doctoral positions 2007/2008
  • Two five-year research positions [C2007-UL-337-GFM]
  • Five-year research position [C2007-UL-339-GFM]
  • Post-doctoral positions 2008/2009
  • Five-year research position [C2008-UL-GFM]
  • Post-doctoral positions 2009/2010
  • UT Austin | Portugal program invites to apply for five year post-doctoral positions
  • Bolsas de Integração na Investigação (BII)
  • Fulbright Scholar in Mathematics
  • Post-doctoral positions 2010/2011 (1)
  • Post-doctoral positions 2010/2011 (2)
  • Post-doctoral positions 2010/2011 (3)
  • Pedro Antunes, of GFMUL, awarded a grant of the Research Stimulus Program of the Gulbenkian Foundation, in the area of Mathematics
  • WELCOME II Programme - Promoting the return of researchers to the European Research Area
  • Post-doctoral positions 2011/2012 (1)
  • NMSU associate professor Robert Smits receives Fulbright Fellowship to conduct research in Portugal
  • Post-doctoral position 2012 (1)
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• FCT GFM Evaluation, 2008