Moments of sums of exponentials, beyond CHS
submitted.
Negative Moments of Steinhaus Sums
submitted.
Khinchin inequalities for uniforms on spheres with a deficit
to appear in Math. Z.
From simplex slicing to sharp reverse Hölder inequalities
to appear in J. Lond. Math. Soc.
A Rényi entropy interpretation of anti-concentration and noncentral sections of convex bodies
Commun. Contemp. Math. 28 (2026), no. 1, Paper No. 2550033, 18 pp.
Stability of simplex slicing and Lipschitzness of sections
to appear in Discrete Comput. Geom.
Convexity properties of sections of 1-symmetric bodies and Rademacher sums
Proc. Amer. Math. Soc. 12 (2025), 187-196.
A sharp Gaussian tail bound for sums of uniforms
Israel J. Math. 269 (2025), no. 2, 985-1000.
Distributional stability of the Szarek and Ball inequalities
Math. Ann. 389 (2024), no. 2, 1161–1185.
Resilience of cube slicing in ℓ p
Duke Math. J. 173 (2024), no. 17, 3377–3412.
Complex Hanner's inequality for many functions
Israel J. Math. 262 (2024), no. 1, 475–486.
Haagerup’s phase transition at polydisc slicing
Anal. PDE 17 (2024), no. 7, 2509–2539.
Stability of polydisc slicing
Mathematika 69 (2023), no. 4, 1165-1182.
Extremal sections and projections of certain convex bodies: a survey
343-390, Adv. Anal. Geom., 9, De Gruyter, Berlin, 2023.
Sharp Rosenthal-type inequalities for mixtures and log-concave variables
Bull. Lond. Math. Soc. 55 (2023), no. 3, 1222–1239.
Typical values of extremal-weight combinatorial structures with independent symmetric weights
Electron. J. Combin. 30 (2023), no. 1, Paper No. 1.12, 12 pp.
Tail bounds for sums of independent two-sided exponential random variables
High dimensional probability IX—the ethereal volume, 143–154, Progr. Probab., 80, Birkhäuser/Springer, Cham, 2023.
Entropies of sums of independent gamma random variables
J. Theoret. Probab. 36 (2023), no. 2, 1227–1242.
Sharp bounds on p-norms for sums of independent uniform random variables, 0 < p < 1
J. Anal. Math. 149 (2023), no. 2, 529–553.
Khinchin-type inequalities via Hadamard's factorisation
Int. Math. Res. Not. IMRN 2023, no. 3, 2429–2445.
Rademacher-Gaussian tail comparison for complex coefficients and related problems
Proc. Amer. Math. Soc. 150 (2022), no. 3, 1339–1349.
Slicing ℓ p -balls reloaded: stability, planar sections in ℓ 1
Ann. Probab. 50 (2022), no. 6, 2344-2372.
Log-concavity and log-convexity of moments of averages of i.i.d. random variables
Canad. Math. Bull. 65 (2022), no. 2, 271–278.
A randomly weighted minimum arborescence with a random cost constraint
Math. Oper. Res. 47 (2022), no. 2, 1664–1680.
On the cover time of the emerging giant
SIAM J. Discrete Math. 36 (2022), no. 3, 1687–1710.
Improved bounds for Hadwiger's covering problem via thin-shell estimates
J. Eur. Math. Soc. (JEMS) 24 (2022), no. 4, 1431–1448.
A note on volume thresholds for random polytopes
Geom. Dedicata 213 (2021), 423–431.
From Ball's cube slicing inequality to Khinchin-type inequalities for negative moments
J. Funct. Anal. 281 (2021), no. 9, Paper No. 109185, 23 pp.
A randomly weighted minimum spanning tree with a random cost constraint
Electron. J. Combin. 28 (2021), no. 1, Paper No. 1.22, 25 pp.
Shortest paths with a cost constraint: a probabilistic analysis
Discrete Appl. Math. 302 (2021), 46–53.
Probabilistic analysis of algorithms for cost constrained minimum weighted combinatorial objects
Oper. Res. Lett. 49 (2021), no. 3, 400–404.
Minimum-weight combinatorial structures under random cost-constraints
Electron. J. Combin. 28 (2021), no. 1, Paper No. 1.20, 18 pp.
Sharp Khinchin-type inequalities for symmetric discrete uniform random variables
Israel J. Math. 246 (2021), no. 1, 281–297.
Sharp moment-entropy inequalities for symmetric log-concave distributions
IEEE Trans. Inform. Theory 67 (2021), no. 1, 81–94.
Reversals of Rényi entropy inequalities under log-concavity
IEEE Trans. Inform. Theory 67 (2021), no. 1, 45–51.
Bounds on moments of weighted sums of finite Riesz products
J. Fourier Anal. Appl. 26 (2020), no. 6, Paper No. 84, 31 pp.
Stochastic dominance and weak concentration for sums of independent symmetric random vectors
Int. Math. Res. Not. IMRN 2020, no. 23, 8997–9010.
Random graphs with a fixed maximum degree
SIAM J. Discrete Math. 34 (2020), no. 1, 53-61.
Random volumes in d-dimensional polytopes
Discrete Anal. 2020, Paper No. 15, 17 pp.
On random multi-dimensional assignment problems
Discrete Appl. Math. 287 (2020), 1–9.
A note on the extremal noncentral sections of the cross-polytope
Adv. in Appl. Math. 118 (2020), 102031, 17 pp.
Two remarks on generalized entropy power inequalities
Geometric aspects of functional analysis. Vol. II, 169–185, Lecture Notes in Math., 2266, Springer, Cham, 2020.
On a convexity property of sections of the cross-polytope
Proc. Amer. Math. Soc. 148 (2020), no. 3, 1271-1278.
A note on log-concave random graphs
Electron. J. Combin. 26 (2019), no. 3, Paper 3.36, 9 pp.
Comparison of moments of Rademacher chaoses
Ark. Mat., 57 (2019), 121–128.
Sharp comparison of moments and the log-concave moment problem
Adv. Math. 334 (2018) 389–416.
Gaussian mixtures: entropy and geometric inequalities
Ann. Probab. 46(5) 2018, 2908–2945.
A multidimensional analogue of the Rademacher-Gaussian tail comparison
Proc. Amer. Math. Soc. 146 (2018), no. 1, 413-419.
On the convex infimum convolution inequality with optimal cost function
ALEA Lat. Am. J. Probab. Math. Stat. 14 (2017), no. 2, 903–915.
A reverse entropy power inequality for log-concave random vectors
Studia Math. 235 (2016), no. 1, 17-30.
A note on suprema of canonical processes based on random variables with regular moments
Electron. J. Probab. 20 (2015), no. 36, 1-17.
Two-sided bounds for L p -norms of combinations of products of independent random variables
Stochastic Process. Appl. 125 (2015), no. 4, 1688-1713.
Injective Tauberian operators on L 1 and operators with dense range on ℓ ∞
Canad. Math. Bull. 58 (2015), no. 2, 276-280.
A note on certain convolution operators
Geometric aspects of functional analysis, 405-412, Lecture Notes in Math., 2116, Springer, Cham, 2014.
Concentration inequalities and geometry of convex bodies
IM PAN Lecture Notes, Vol. 2, Warsaw 2014.
S-inequality for certain product measures
Math. Nachr. 287 (2014), No. 4, 398-404.
Extremal spacings between eigenphases of random unitary matrices and their tensor products
Phys. Rev. E 88, 052902 (2013)
A note on the tensor product of two random unitary matrices
Electron. Commun. Probab. 18 (2013), no. 16, 1–7.
The unconditional case of the complex S-inequality
Israel J. Math. 197 (2013), no. 1, 99–106.
A Note on a Brunn-Minkowski Inequality for the Gaussian Measure
Proc. Amer. Math. Soc. 141 (2013), no. 11, 4027–4030.
Tensor Products of Random Unitary Matrices
Random Matrices: Theory and Applications, Vol. 1, No. 4 (2012) 1250009 (26 pages).
An Upper Bound for Spherical Caps
Amer. Math. Monthly 119 (2012), no. 7, 606-607.
On a Loomis-Whitney type inequality for permutationally invariant unconditional convex bodies
Geometric Aspects of Functional Analysis, 327-333, Lecture Notes in Math., Vol. 2050, Springer, Berlin Heidelberg, 2012.
Gaussian measures of dilations of convex rotationally symmetric sets in C n
Elect. Comm. in Probab. 16 (2011), 38–49.