Search Results - "Chiclana, Rafael"
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On outer bi-Lipschitz extensions of linear Johnson-Lindenstrauss embeddings of subsets of RN
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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2
Cantor sets of low density and Lipschitz functions on C1 curves
Published in Journal of mathematical analysis and applications (01-12-2022)“…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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A local central limit theorem for random walks on expander graphs
Published in Electronic journal of probability (01-01-2024)Get full text
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No cutoff in Spherically symmetric trees
Published in Electronic communications in probability (01-01-2022)Get full text
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The Bishop–Phelps–Bollobás property for Lipschitz maps
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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On outer bi-Lipschitz extensions of linear Johnson-Lindenstrauss embeddings of subsets of $$\mathbb {R}^N
Published in Numerische Mathematik (01-12-2024)Get full text
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7
Cantor sets of low density and Lipschitz functions on $C^1$ curves
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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8
Optimal lower bound for the variance of hitting times for simple random walks on graphs
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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9
A local central limit theorem for random walks on expander graphs
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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10
No cutoff in Spherically symmetric trees
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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Some stability properties for the Bishop--Phelps--Bollob\'as property for Lipschitz maps
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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On Continuous Terminal Embeddings of Sets of Positive Reach
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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13
On Outer Bi-Lipschitz Extensions of Linear Johnson-Lindenstrauss Embeddings of Subsets of $\mathbb{R}^N
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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14
The Bishop--Phelps--Bollob\'as property for Lipschitz maps
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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15
Mixing Properties and Central Limit Theorems in Random Walks
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 -
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Examples and applications of the density of strongly norm attaining Lipschitz maps
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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