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math.PR2024★ 1 cited
Fourier dimension of Mandelbrot multiplicative cascades
Changhao Chen, Bing Li, Ville Suomala
We investigate the Fourier dimension, , of Mandelbrot multiplicative cascade measures on the -dimensional unit cube. We show that if is the cascade measure gene…
math.DS2024
Two bifurcation sets of expansive Lorenz maps with a hole at the critical point
Yun Sun, Bing Li
Let be an expansive Lorenz map on and be the critical point. The survivor set we are discussing here is denoted as $S^+_{f}(a,b):=\{x\in[0,1]:f(b)\leq f^{n}(x) \leq…