4 papers
Khinchin inequalities for uniforms on spheres with a deficit
Jacek Jakimiuk, Colin Tang, Tomasz Tkocz
We sharpen the moment comparison inequalities with sharp constants for sums of random vectors uniform on Euclidean spheres, providing a deficit term (optimal in high dimensions).
Moments of sums of exponentials, beyond CHS
Silouanos Brazitikos, Colin Tang, Tomasz Tkocz
We establish a sharp lower bound on the -norm of sums of independent exponential random variables with fixed variance, for , thus extending Hunter's positivity theor…
Negative Moments of Steinhaus Sums
Martin Rapaport, Tomasz Tkocz, Isabella Wu
We prove a sharp upper bound on negative moments of sums of independent Steinhaus random variables (that is uniform on circles in the plane). Together with the series of earlier wo…
Stability of simplex slicing
Serhii Myroshnychenko, Colin Tang, Kateryna Tatarko +1
We establish dimension-free stability of Webb's sharp simplex slicing (1996). Incidentally, we investigate Lipschitzness of volume of hyperplane central sections of arbitrary (not…