Pavel Zorin-Kranich

activity

20102024

most citedVariation estimates for averages along primes and polynomials

40 citations · 489 across the 52 of their papers we have counts for

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Showing 2014Show all

6 papers · 1 filter

math.CA2014★ 22 cited

Variational estimates for averages and truncated singular integrals along the prime numbers

Mariusz Mirek, Bartosz Trojan, Pavel Zorin-Kranich

We prove, in a unified way, $r$ -variational estimates, $r > 2$ , on $ℓ^{s} (Z)$ spaces, $s \in (1, \infty)$ , for averages and truncated singular integrals along the set of…

math.DS2014★ 4 cited

Triangles in cartesian squares of quasirandom groups

Vitaly Bergelson, Donald Robertson, Pavel Zorin-Kranich

We prove that triangular configurations are plentiful in large subsets of cartesian squares of finite quasirandom groups from classes having the quasirandom ultraproduct property,…

math.DS2014★ 3 cited

A random pointwise ergodic theorem with Hardy field weights

Ben Krause, Pavel Zorin-Kranich

Let $a_{n}$ be the random increasing sequence of natural numbers which takes each value independently with probability $n^{- a}$ , $0 < a < 1/2$ , and let $p (n) = n^{1 + ε}$ , $0 < ε < 1$ .…

math.CA2014★ 28 cited

Weighted and vector-valued variational estimates for ergodic averages

Ben Krause, Pavel Zorin-Kranich

We prove weighted and vector-valued variational estimates for ergodic averages on $R^{d}$ . The weighted square function estimate relating ergodic averages to the dyadic mart…

math.CA2014★ 40 cited

Variation estimates for averages along primes and polynomials

Pavel Zorin-Kranich

We prove $q$ -variation estimates, $q > 2$ , on $ℓ^{p}$ spaces for averages along primes (with $1 < p < \infty$ ) and polynomials (with $\frac{1}{p} - \frac{1}{2} < \frac{1}{2 ( d + 1 )}$ …

math.DS2014★ 6 cited

Finite Products Sets and Minimally Almost Periodic Groups

Vitaly Bergelson, Cory Christopherson, Donald Robertson +1

We construct, in locally compact, second countable, amenable groups, sets with large density that fail to have certain combinatorial properties. For the property of being a shift o…