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+34 946 567 842
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+34 946 567 843
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tzszarek@bcamath.org
Information of interest
Postdoc Fellow at BCAM
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Lattice points problem, equidistribution and ergodic theorems for certain arithmetic spheres
Iosevich, A.; Langowski, B.; Mirek, M.; Szarek, T.Z.
(2023-01-01)
We establish an asymptotic formula for the number of lattice points in the sets Sh1,h2,h3(λ):={x∈Z+3:⌊h1(x1)⌋+⌊h2(x2)⌋+⌊h3(x3)⌋=λ} with λ∈Z+; where functions h1, h2, h3 are constant multiples of regularly varying functions ...
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Polynomial averages and pointwise ergodic theorems on nilpotent groups
Ionescu, A. D.; Magyar, A.; Mirek, M.; Szarek, T.Z. (2022)
We establish pointwise almost everywhere convergence for ergodic averages along polynomial sequences in nilpotent groups of step two of measure-preserving transformations on $\sigma$-finite measure spaces. We also establish ...