LUIS CRISTOBAL ROJAS GONZALEZ

    • 260 Citas
    • 10 Índice H
    20082019
    Los cambios que haya realizado en Pure se mostrarán aquí próximamente.

    Resultado de la investigación 2008 2019

    • 260 Citas
    • 10 Índice H
    • 23 Article
    • 7 Conference contribution
    Filtro
    Article
    2019

    Computational intractability of attractors in the real quadratic family

    Rojas, C. & Yampolsky, M., 20 jun 2019, En : Advances in Mathematics. 349, p. 941-958 18 p.

    Resultado de la investigación: Article

    Quadratic Map
    Attractor
    Interval
    Class
    Family
    2018

    Carathéodory Convergence and Harmonic Measure

    Binder, I., Rojas, C. & Yampolsky, M., 1 ene 2018, (Accepted/In press) En : Potential Analysis.

    Resultado de la investigación: Article

    Harmonic Measure
    Multiplication
    Generalise
    1 Cita (Scopus)

    Computing geometric lorenz attractors with arbitrary precision

    Graça, D. S., Rojas, C. & Zhong, N., 1 abr 2018, En : Transactions of the American Mathematical Society. 370, 4, p. 2955-2970 16 p.

    Resultado de la investigación: Article

    Lorenz attractor
    Strange attractor
    Computing
    Arbitrary
    Physical measure

    Non computable Mandelbrot-like sets for a one-parameter complex family

    Coronel, D., Rojas, C. & Yampolsky, M., 1 oct 2018, En : Information and Computation. 262, p. 110-122 13 p.

    Resultado de la investigación: Article

    Turing
    Complex number
    Locus
    Bifurcation
    Family
    2017

    Tight space-noise tradeoffs in computing the ergodic measure

    Braverman, M., Rojas, C. & Schneider, J., 1 ene 2017, En : Sbornik Mathematics. 208, 12, p. 1758-1783 26 p.

    Resultado de la investigación: Article

    Ergodic Measure
    Trade-offs
    Computing
    Discrete-time Dynamical Systems
    Describing Function
    2016
    1 Cita (Scopus)

    On the Information Carried by Programs About the Objects they Compute

    Hoyrup, M. & Rojas, C., 9 dic 2016, (Accepted/In press) En : Theory of Computing Systems. p. 1-23 23 p.

    Resultado de la investigación: Article

    Kolmogorov Complexity
    Computability
    Computable Analysis
    Computability Theory
    Topological Structure
    2015
    1 Cita (Scopus)

    Non-Computable Impressions of Computable External Rays of Quadratic Polynomials

    Binder, I., Rojas, C. & Yampolsky, M., 2015, En : Communications in Mathematical Physics. 335, 2, p. 739-757 19 p.

    Resultado de la investigación: Article

    Quadratic Polynomial
    Julia set
    Computability
    Compact Set
    Half line
    1 Cita (Scopus)

    Space-Bounded Church-Turing Thesis and Computational Tractability of Closed Systems

    Braverman, M., Schneider, J. & Rojas, C., 27 ago 2015, En : Physical Review Letters. 115, 9, 098701.

    Resultado de la investigación: Article

    theses
    space storage
    dynamical systems
    hardness
    simulation
    2014
    4 Citas (Scopus)

    Computable Carathéodory Theory

    Binder, I., Rojas, C. & Yampolsky, M., 10 nov 2014, En : Advances in Mathematics. 265, p. 280-312 33 p.

    Resultado de la investigación: Article

    Complex Analysis
    Unit Disk
    Computing
    Theorem
    Object
    1 Cita (Scopus)

    Probability, statistics and computation in dynamical systems

    Galatolo, S., Nisoli, I. & Rojas, C., 1 ene 2014, En : Mathematical Structures in Computer Science. 24, 3, e240304.

    Resultado de la investigación: Article

    Dynamical systems
    Dynamical system
    Statistics
    Computability
    Deduction
    16 Citas (Scopus)

    Schnorr randomness and the lebesgue differentiation theorem

    Pathak, N., Rojas, C. & Simpson, S. G., 2014, En : Proceedings of the American Mathematical Society. 142, 1, p. 335-349 15 p.

    Resultado de la investigación: Article

    Henri Léon Lebésgue
    Randomness
    Correspondence
    Theorem
    If and only if
    2012
    16 Citas (Scopus)

    Computability of the radon-nikodym derivative

    Hoyrup, M., Rojas, C. & Weihrauch, K., 1 ene 2012, En : Computability. 1, 1, p. 3-13 11 p.

    Resultado de la investigación: Article

    Radon-Nikodym Derivative
    Measurable space
    Computability
    Radon
    Derivatives
    7 Citas (Scopus)

    Statistical properties of dynamical systems - Simulation and abstract computation

    Galatolo, S., Hoyrup, M. & Rojas, C., ene 2012, En : Chaos, Solitons and Fractals. 45, 1, p. 1-14 14 p.

    Resultado de la investigación: Article

    System Simulation
    Invariant Measure
    Statistical property
    Dynamical system
    Approximation
    2011
    13 Citas (Scopus)

    Algorithmic tests and randomness with respect to a class of measures

    Bienvenu, L., Gács, P., Hoyrup, M., Rojas, C. & Shen, A., 1 ene 2011, En : Proceedings of the Steklov Institute of Mathematics. 274, 1, p. 34-89 56 p.

    Resultado de la investigación: Article

    Bernoulli
    Randomness
    Random Sequence
    Prefix
    Strengthening

    Coding discretizations of continuous functions

    Rojas, C. & Troubetzkoy, S., 6 may 2011, En : Discrete Mathematics. 311, 8-9, p. 620-627 8 p.

    Resultado de la investigación: Article

    Continuous Function
    Coding
    Discretization
    Subsequence
    Tend
    6 Citas (Scopus)

    Computability of Brolin-Lyubich Measure

    Binder, I., Braverman, M., Rojas, C. & Yampolsky, M., dic 2011, En : Communications in Mathematical Physics. 308, 3, p. 743-771 29 p.

    Resultado de la investigación: Article

    Harmonic Measure
    Computability
    Infinity
    Polynomial Mapping
    Julia set
    16 Citas (Scopus)

    Dynamics and abstract computability: Computing invariant measures

    Galatolo, S., Hoyrup, M. & Rojas, C., 1 ene 2011, En : Discrete and Continuous Dynamical Systems. 29, 1, p. 193-212 20 p.

    Resultado de la investigación: Article

    Computability
    Invariant Measure
    Dynamical systems
    Physical measure
    Computing
    21 Citas (Scopus)

    Randomness on Computable Probability Spaces-A Dynamical Point of View

    Gács, P., Hoyrup, M. & Rojas, C., 1 abr 2011, En : Theory of Computing Systems. 48, 3, p. 465-485 21 p.

    Resultado de la investigación: Article

    Probability Space
    Randomness
    Ergodic Theorem
    Morphisms
    If and only if
    2010
    4 Citas (Scopus)
    Dynamical systems
    16 Citas (Scopus)

    Effective symbolic dynamics, random points, statistical behavior, complexity and entropy

    Galatolo, S., Hoyrup, M. & Rojas, C., 1 ene 2010, En : Information and Computation. 208, 1, p. 23-41 19 p.

    Resultado de la investigación: Article

    Symbolic Dynamics
    Orbits
    Entropy
    Orbit
    Dynamical systems
    2009
    15 Citas (Scopus)

    A constructive Borel-Cantelli lemma. Constructing orbits with required statistical properties

    Galatolo, S., Hoyrup, M. & Rojas, C., 17 may 2009, En : Theoretical Computer Science. 410, 21-23, p. 2207-2222 16 p.

    Resultado de la investigación: Article

    Borel-Cantelli Lemma
    Statistical property
    Dynamical systems
    Orbits
    Orbit
    61 Citas (Scopus)

    Computability of probability measures and Martin-Löf randomness over metric spaces

    Hoyrup, M. & Rojas, C., 1 jul 2009, En : Information and Computation. 207, 7, p. 830-847 18 p.

    Resultado de la investigación: Article

    Computability
    Randomness
    Probability Measure
    Metric space
    Cantor
    2008
    4 Citas (Scopus)

    Computability and information in models of randomness and chaos

    Rojas, C., 1 abr 2008, En : Mathematical Structures in Computer Science. 18, 2, p. 291-307 17 p.

    Resultado de la investigación: Article

    Deterministic Chaos
    Kolmogorov Complexity
    Computability
    Random process
    Recursion