Search Results - "Chiclana, Rafael"

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  1. 1

    On outer bi-Lipschitz extensions of linear Johnson-Lindenstrauss embeddings of subsets of RN by Chiclana, Rafael, Iwen, Mark A., Roach, Mark Philip

    Published in Numerische Mathematik (2024)
    “…The celebrated Johnson-Lindenstrauss lemma states that for all ε ∈ ( 0 , 1 ) and finite sets X ⊆ R N with n > 1 elements, there exists a matrix Φ ∈ R m × N…”
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    Journal Article
  2. 2

    Cantor sets of low density and Lipschitz functions on C1 curves by Chiclana, Rafael

    “…We characterize the functions f:(0,1]⟶[0,1] for which there exists a measurable set C⊆[0,1] of positive measure satisfying |C∩I||I|<f(|I|) for any nontrivial…”
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    Journal Article
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  5. 5

    The Bishop–Phelps–Bollobás property for Lipschitz maps by Chiclana, Rafael, Martín, Miguel

    Published in Nonlinear analysis (01-11-2019)
    “…In this paper, we introduce and study a Lipschitz version of the Bishop–Phelps–Bollobás property (Lip-BPB property). This property deals with the possibility…”
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    Journal Article
  6. 6
  7. 7

    Cantor sets of low density and Lipschitz functions on $C^1$ curves by Chiclana, Rafael

    Published 05-08-2021
    “…We characterize the functions $f\colon [0,1] \longrightarrow [0,1]$ for which there exists a measurable set $C\subseteq [0,1]$ of positive measure satisfying…”
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    Journal Article
  8. 8

    Optimal lower bound for the variance of hitting times for simple random walks on graphs by Chiclana, Rafael, Peres, Yuval

    Published 12-12-2023
    “…We study hitting times in simple random walks on graphs, which measure the time required to reach specific target vertices. Our main result establishes a sharp…”
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    Journal Article
  9. 9

    A local central limit theorem for random walks on expander graphs by Chiclana, Rafael, Peres, Yuval

    Published 01-12-2022
    “…There is a long history of establishing central limit theorems for Markov chains. Quantitative bounds for chains with a spectral gap were proved by Mann and…”
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    Journal Article
  10. 10

    No cutoff in Spherically symmetric trees by Chiclana, Rafael, Peres, Yuval

    Published 29-07-2021
    “…We show that for lazy simple random walks on finite spherically symmetric trees, the ratio of the mixing time and the relaxation time is bounded by a universal…”
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    Journal Article
  11. 11

    Some stability properties for the Bishop--Phelps--Bollob\'as property for Lipschitz maps by Chiclana, Rafael, Martin, Miguel

    Published 22-04-2020
    “…We study the stability behavior of the Bishop-Phelps-Bollob\'as property for Lipschitz maps (Lip-BPB property). This property is a Lipschitz version of the…”
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    Journal Article
  12. 12

    On Continuous Terminal Embeddings of Sets of Positive Reach by Brugiapaglia, Simone, Chiclana, Rafael, Hoheisel, Tim, Iwen, Mark

    Published 05-08-2024
    “…In this paper we prove the existence of H\"{o}lder continuous terminal embeddings of any desired $X \subseteq \mathbb{R}^d$ into $\mathbb{R}^{m}$ with…”
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    Journal Article
  13. 13

    On Outer Bi-Lipschitz Extensions of Linear Johnson-Lindenstrauss Embeddings of Subsets of $\mathbb{R}^N by Chiclana, Rafael, Iwen, Mark A, Roach, Mark Philip

    Published 06-03-2024
    “…The celebrated Johnson-Lindenstrauss lemma states that for all $\varepsilon \in (0,1)$ and finite sets $X \subseteq \mathbb{R}^N$ with $n>1$ elements, there…”
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    Journal Article
  14. 14

    The Bishop--Phelps--Bollob\'as property for Lipschitz maps by Chiclana, Rafael, Martin, Miguel

    Published 09-01-2019
    “…Nonlinear Analysis 188 (2019), 158--178 In this paper, we introduce and study a Lipschitz version of the Bishop-Phelps-Bollob\'as property (Lip-BPB property)…”
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    Journal Article
  15. 15

    Mixing Properties and Central Limit Theorems in Random Walks by Chiclana Vega, Rafael

    Published 01-01-2023
    “…Random walks have been extensively studied due to their numerous applications in fields such as Physics, Computer Science, and Biology. In this thesis, we…”
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    Dissertation
  16. 16

    Examples and applications of the density of strongly norm attaining Lipschitz maps by Chiclana, Rafael, García-Lirola, Luis C, Martin, Miguel, Zoca, Abraham Rueda

    Published 17-07-2019
    “…We study the density of the set $\operatorname{SNA}(M,Y)$ of those Lipschitz maps from a (complete pointed) metric space $M$ to a Banach space $Y$ which…”
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    Journal Article