5 papers
Anti-concentration inequalities for log-concave variables on the real line
Tulio Gaxiola, James Melbourne, Vincent Pigno +1
We prove sharp anti-concentration results for log-concave random variables on the real line in both the discrete and continuous setting. Our approach is elementary and uses majoriz…
Combinatorics of NC-Probability Spaces with Independent Constants
Carlos Dias-Aguilera, Tulio Gaxiola, Jorge Santos +1
Unlike classical and free independence, the boolean and monotone notions of independence lack of the property of independent constants. In the scalar case, this leads to restrictio…
Relative abundances and enantiomerization energy of the chiral Cu cluster at finite temperature
Cesar Castillo-Quevedo, Carlos Emiliano Buelna-Garcia, Edgar Paredes-Sotelo +8
This study reports the lowest energy structure of bare Cu nanoclusters as a pair of enantiomers for temperatures ranging from 20 to 1200 K. Moreover, we compute the enantiom…
On the spectral distributions of distance-k graph of free product graphs
Octavio Arizmendi, Tulio Gaxiola
We calculate the distribution with respect to the vacuum state of the distance- graph of a -regular tree. From this result we show that the distance- graph of a -regula…
Asymptotic spectral distributions of distance -graphs of star product graphs
Octavio Arizmendi, Tulio Gaxiola
Let be a finite connected graph and let be the distance -graph of the -fold star power of . For a fixed , we show that the large limit of…