Volostnov, A. S. On the energy of roots. (English. Russian original) Zbl 1548.11032 Math. Notes 115, No. 6, 897-907 (2024); translation from Mat. Zametki 115, No. 6, 849-861 (2024). MSC: 11B30 × Cite Format Result Cite Review PDF Full Text: DOI
van Hintum, Peter; Spink, Hunter; Tiba, Marius Sets in \(\mathbb{Z}^k\) with doubling \(2^k + \delta\) are near convex progressions. (English) Zbl 1528.11106 Adv. Math. 413, Article ID 108830, 72 p. (2023). Reviewer: Paolo Leonetti (Milano) MSC: 11P70 11B13 52A40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lev, Vsevolod F. Small doubling in cyclic groups. (English) Zbl 1512.11072 J. Number Theory 243, 561-614 (2023). Reviewer: Sávio Ribas (Belo Horizonte) MSC: 11P70 11B75 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lev, Vsevolod F. Small doubling in groups with moderate torsion. (English) Zbl 1489.11157 SIAM J. Discrete Math. 36, No. 1, 315-335 (2022). Reviewer: Qinghai Zhong (Graz) MSC: 11P70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Izonin, Ivan; Tkachenko, Roman; Dronyuk, Ivanna; Tkachenko, Pavlo; Gregus, Michal; Rashkevych, Mariia Predictive modeling based on small data in clinical medicine: RBF-based additive input-doubling method. (English) Zbl 1471.92158 Math. Biosci. Eng. 18, No. 3, 2599-2613 (2021). MSC: 92C50 62P10 × Cite Format Result Cite Review PDF Full Text: DOI
Ol’mezov, K. I.; Semchenkov, A. S.; Shkredov, I. D. On popular sums and differences for sets with small multiplicative doubling. (English. Russian original) Zbl 1453.11020 Math. Notes 108, No. 4, 557-565 (2020); translation from Mat. Zametki 108, No. 4, 561-571 (2020). Reviewer: Štefan Porubský (Praha) MSC: 11B30 11B75 11L07 11B13 11B50 × Cite Format Result Cite Review PDF Full Text: DOI
Longobardi, Patrizia; Maj, Mercede Small doubling in \(m\)-Engel groups. (English) Zbl 1443.20064 Int. J. Group Theory 9, No. 4, 277-291 (2020). MSC: 20F45 11P70 20F60 05E16 11B30 × Cite Format Result Cite Review PDF Full Text: DOI
Kurdachenko, Leonid A.; Longobardi, Patrizia; Maj, Mercede Groups with numerical restrictions on minimal generating sets. (English) Zbl 1443.20057 Int. J. Group Theory 9, No. 2, 95-111 (2020). MSC: 20F05 20E34 11P70 × Cite Format Result Cite Review PDF Full Text: DOI
Candela, Pablo; Serra, Oriol; Spiegel, Christoph A step beyond Freiman’s theorem for set addition modulo a prime. (English. French summary) Zbl 1459.11202 J. Théor. Nombres Bordx. 32, No. 1, 275-289 (2020). Reviewer: Ilya D. Shkredov (Moskva) MSC: 11P70 11B13 05B10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lev, Vsevolod F.; Shkredov, Ilya D. Small doubling in prime-order groups: from 2.4 to 2.6. (English) Zbl 1470.11259 J. Number Theory 217, 278-291 (2020). Reviewer: Mihály Szalay (Budapest) MSC: 11P70 11B13 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Manners, Freddie A note on the polynomial Freĭman-Ruzsa conjecture over \(\mathbb{Z}\). (English) Zbl 1462.11013 Math. Proc. Camb. Philos. Soc. 166, No. 2, 243-245 (2019). MSC: 11B25 11B30 52A20 × Cite Format Result Cite Review PDF Full Text: DOI
Balasubramanian, R.; Pandey, Prem Prakash On a theorem of Deshouillers and Freiman. (English) Zbl 1429.11021 Eur. J. Comb. 70, 284-296 (2018). MSC: 11B13 11B25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Freiman, Gregory A.; Herzog, Marcel; Longobardi, Patrizia; Maj, Mercede; Stanchescu, Yonutz V. Small doubling in ordered nilpotent groups of class 2. (English) Zbl 1405.11135 Eur. J. Comb. 67, 87-95 (2018). MSC: 11P70 11B13 11B30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Parthasarathy, Srinivasan; Sivakoff, David; Tian, Minghao; Wang, Yusu A quest to unravel the metric structure behind perturbed networks. (English) Zbl 1432.68368 Aronov, Boris (ed.) et al., 33rd international symposium on computational geometry. SoCG 2017, Brisbane, Australia, July 4–7, 2017. Proceedings. Wadern: Schloss Dagstuhl – Leibniz Zentrum für Informatik. LIPIcs – Leibniz Int. Proc. Inform. 77, Article 53, 16 p. (2017). MSC: 68R10 05C82 60B05 62G05 62H05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Park, Hanchul Wedge operations and doubling operations of real toric manifolds. (English) Zbl 1387.57040 Chin. Ann. Math., Ser. B 38, No. 6, 1321-1334 (2017). MSC: 57N65 57S17 05E45 × Cite Format Result Cite Review PDF Full Text: DOI
Freiman, Gregory A.; Herzog, Marcel; Longobardi, Patrizia; Maj, Mercede; Plagne, Alain; Stanchescu, Yonutz V. Small doubling in ordered groups: generators and structure. (English) Zbl 1427.11102 Groups Geom. Dyn. 11, No. 2, 585-612 (2017). MSC: 11P70 11B30 20F05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Volostnov, A. S.; Shkredov, Ilya D. Sums of multiplicative characters with additive convolutions. (English. Russian original) Zbl 1371.11127 Proc. Steklov Inst. Math. 296, 256-269 (2017); translation from Tr. Mat. Inst. Steklova 296, 265-279 (2017). Reviewer: John H. Loxton (Greenwich, NSW) MSC: 11L40 11L07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Grynkiewicz, David J. Planar subsets with small doubling. (English) Zbl 1426.11002 Q. J. Math. 68, No. 1, 161-192 (2017). MSC: 11B13 11B30 × Cite Format Result Cite Review PDF Full Text: DOI Link
Freiman, G. A.; Herzog, M.; Longobardi, P.; Maj, M.; Plagne, A.; Robinson, D. J. S.; Stanchescu, Y. V. On the structure of subsets of an orderable group with some small doubling properties. (English) Zbl 1359.11082 J. Algebra 445, 307-326 (2016). Reviewer: Ilya D. Shkredov (Moskva) MSC: 11P70 20F05 11B13 05E15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bhowmick, Abhishek; Gabizon, Ariel; Lê, Thái Hoàng; Zuckerman, David Deterministic extractors for additive sources (extended abstract). (English) Zbl 1365.11009 Proceedings of the 6th conference on innovations in theoretical computer science, ITCS’15, Rehovot, Israel, January 11–13, 2015. New York, NY: Association for Computing Machinery (ACM) (ISBN 978-1-4503-3333-7). 277-286 (2015). MSC: 11B30 11B25 11T23 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chan, T.-H. Hubert; Li, Mingfei; Ning, Li; Solomon, Shay New doubling spanners: better and simpler. (English) Zbl 1353.05043 SIAM J. Comput. 44, No. 1, 37-53 (2015). MSC: 05C12 × Cite Format Result Cite Review PDF Full Text: DOI Link
Shteĭnikov, Yuriĭ N. Estimates of trigonometric sums over subgroups and some of their applications. (English. Russian original) Zbl 1358.11094 Math. Notes 98, No. 4, 667-684 (2015); translation from Mat. Zametki 98, No. 4, 606-625 (2015). MSC: 11L07 11T23 × Cite Format Result Cite Review PDF Full Text: DOI
Mazur, Przemysław A structure theorem for sets of small popular doubling. (English) Zbl 1351.11066 Acta Arith. 171, No. 3, 221-239 (2015). Reviewer: Guoqing Wang (Tianjin) MSC: 11P70 11B13 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Shkredov, I. D. Structure theorems in additive combinatorics. (English. Russian original) Zbl 1393.11008 Russ. Math. Surv. 70, No. 1, 113-163 (2015); translation from Usp. Mat. Nauk. 70, No. 1, 123-178 (2015). MSC: 11B30 11B13 11P70 × Cite Format Result Cite Review PDF Full Text: DOI
Tringali, Salvatore Small doubling in ordered semigroups. (English) Zbl 1329.06006 Semigroup Forum 90, No. 1, 135-148 (2015). MSC: 06F05 20M05 11B75 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Freiman, G. A.; Herzog, M.; Longobardi, P.; Maj, M.; Stanchescu, Y. V. Some inverse problems in group theory. (English) Zbl 1360.11094 Note Mat. 34, No. 1, 89-104 (2014). MSC: 11P70 20F05 11B13 05E15 × Cite Format Result Cite Review PDF Full Text: Link
Freiman, Gregory; Herzog, Marcel; Longobardi, Patrizia; Maj, Mercede Small doubling in ordered groups. (English) Zbl 1301.20032 J. Aust. Math. Soc. 96, No. 3, 316-325 (2014). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 20F60 06F15 05E15 20F18 11P70 11B30 11B75 20E07 20D60 × Cite Format Result Cite Review PDF Full Text: DOI
Freiman, Gregory A. On finite subsets of nonabelian groups with small doubling. (English) Zbl 1284.20024 Proc. Am. Math. Soc. 140, No. 9, 2997-3002 (2012). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 20D60 11P70 11B30 20F99 × Cite Format Result Cite Review PDF Full Text: DOI
Hrushovski, Ehud Stable group theory and approximate subgroups. (English) Zbl 1259.03049 J. Am. Math. Soc. 25, No. 1, 189-243 (2012). Reviewer: Immanuel Halupczok (Münster) MSC: 03C45 11P70 20F99 20A15 20E07 11B75 03C60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fraigniaud, Pierre; Lebhar, Emmanuelle; Lotker, Zvi A lower bound for network navigability. (English) Zbl 1207.05186 SIAM J. Discrete Math. 24, No. 1, 72-81 (2010). MSC: 05C82 05C85 90B15 × Cite Format Result Cite Review PDF Full Text: DOI
Fraigniaud, Pierre; Lebhar, Emmanuelle; Lotker, Zvi Recovering the long-range links in augmented graphs. (English) Zbl 1195.68014 Theor. Comput. Sci. 411, No. 14-15, 1613-1625 (2010). MSC: 68M10 68R10 91D30 × Cite Format Result Cite Review PDF Full Text: DOI Link
Stanchescu, Yonutz V. The structure of \(d\)-dimensional sets with small sumset. (English) Zbl 1255.11049 J. Number Theory 130, No. 2, 289-303 (2010). MSC: 11P70 11B75 52C99 × Cite Format Result Cite Review PDF Full Text: DOI
Diao, Hansheng Freiman-Ruzsa-type theory for small doubling constant. (English) Zbl 1227.05270 Math. Proc. Camb. Philos. Soc. 146, No. 2, 269-276 (2009). MSC: 05E15 11B75 11B25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Shkredov, I. D. On sets with small doubling property. (English. Russian original) Zbl 1219.11019 Math. Notes 84, No. 6, 859-878 (2008); translation from Mat. Zametki 84, No. 6, 927-947 (2008). MSC: 11B30 11B75 20K01 × Cite Format Result Cite Review PDF Full Text: DOI
Stanchescu, Yonutz V. Three-dimensional sets with small sumset. (English) Zbl 1174.11085 Combinatorica 28, No. 3, 343-355 (2008). Reviewer: Christian Elsholtz (Egham) MSC: 11P70 11B25 52C99 × Cite Format Result Cite Review PDF Full Text: DOI
Slivkins, Aleksandrs Distance estimation and object location via rings of neighbors. (English) Zbl 1266.68100 Distrib. Comput. 19, No. 4, 313-333 (2007). MSC: 68P05 68M14 68W15 05C78 × Cite Format Result Cite Review PDF Full Text: DOI Link
Fraigniaud, Pierre; Lebhar, Emmanuelle; Lotker, Zvi A doubling dimension threshold \(\Theta (\log \log n)\) for augmented graph navigability. (English) Zbl 1131.68486 Azar, Yossi (ed.) et al., Algorithms – ESA 2006. 14th annual European symposium, Zurich, Switzerland, September 11–13, 2006. Proceedings. Berlin: Springer (ISBN 978-3-540-38875-3/pbk). Lecture Notes in Computer Science 4168, 376-386 (2006). MSC: 68R10 05C80 × Cite Format Result Cite Review PDF Full Text: DOI
Freiman, Gregory A.; Yudin, Alexander A. The interface between probability theory and additive number theory (local limit theorems and structure theory of set addition). (English) Zbl 1125.60031 Kaimanovich, V. (ed.) et al., Representation theory, dynamical systems, and asymptotic combinatorics. Based on the conference, St. Petersburg, Russia, June 8–13, 2004 on the occasion of the 70th birthday of Anatoly Vershik. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-4208-0/hbk). Translations. Series 2. American Mathematical Society 217. Advances in the Mathematical Sciences 58, 51-72 (2006). Reviewer: Ravi Sreenivasan (Mysore) MSC: 60F99 11B13 11P70 60F05 × Cite Format Result Cite Review PDF
Lev, Vsevolod F. Critical pairs in Abelian groups and Kemperman’s structure theorem. (English) Zbl 1157.11040 Int. J. Number Theory 2, No. 3, 379-396 (2006). Reviewer: Tom Sanders (Cambridge) MSC: 11P70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Isaeva, O. B.; Kuznetsov, S. P. An approximate description of the Mandelbrot set. Thermodynamic analogy. (Russian) Zbl 1224.82006 Izv. Vyssh. Uchebn. Zaved., Prikl. Nelinejn. Din. 14, No. 1, 55-71 (2006). MSC: 82B26 37A60 37F45 37F50 × Cite Format Result Cite Review PDF Full Text: arXiv
Dullin, H. R.; Ivanov, A. V. Twistless tori near low-order resonances. (English. Russian original) Zbl 1120.37035 J. Math. Sci., New York 128, No. 2, 2754-2760 (2005); translation from Zap. Nauchn. Semin. POMI 300, 135-144 (2003). MSC: 37J20 37J40 37G40 × Cite Format Result Cite Review PDF Full Text: DOI
Keller, Karsten; Winter, Steffen Combinatorics of distance doubling maps. (English) Zbl 1086.37024 Fundam. Math. 187, No. 1, 1-35 (2005). MSC: 37F20 37E10 37F45 37F50 × Cite Format Result Cite Review PDF Full Text: DOI
Deshouillers, J.-M.; Hennecart, F.; Plagne, A. On small sumsets in \((\mathbb{Z}/2\mathbb{Z})^n\). (English) Zbl 1049.11108 Combinatorica 24, No. 1, 53-68 (2004). Reviewer: Martin Blümlinger (Wien) MSC: 11P70 11B75 × Cite Format Result Cite Review PDF Full Text: DOI
Fruchard, Augustin; Schäfke, Reinhard Bifurcation delay and difference equations. (English) Zbl 1041.39011 Nonlinearity 16, No. 6, 2199-2220 (2003). Reviewer: Ondřej Došlý (Brno) MSC: 39A12 34E15 37J20 × Cite Format Result Cite Review PDF Full Text: DOI HAL
Hennecart, François; Plagne, Alain On the subgroup generated by a small doubling binary set. (English) Zbl 1018.11050 Eur. J. Comb. 24, No. 1, 5-14 (2003). Reviewer: Mihály Szalay (Budapest) MSC: 11P70 11B75 20D60 05D10 × Cite Format Result Cite Review PDF Full Text: DOI
Pitman, Jane Sumsets of finite Beatty sequences. (English) Zbl 1020.11016 Electron. J. Comb. 8, No. 2, Research Paper R15, 23 p. (2001); printed version J. Comb. 8, No. 2 (2001). Reviewer: Štefan Porubský (Praha) MSC: 11B83 11B75 11A55 11P99 52C05 × Cite Format Result Cite Review PDF Full Text: EuDML EMIS
Vsevolod, Lev F. On small sumsets in abelian groups. (English) Zbl 0956.11008 Deshouillers, Jean-Marc (ed.) et al., Structure theory of set addition. Paris: Société Mathématique de France, Astérisque. 258, 317-321 (1999). Reviewer: Štefan Porubský (Praha) MSC: 11B75 20D60 11P99 05E99 × Cite Format Result Cite Review PDF
Stanchescu, Yonutz V. On the structure of sets of lattice points in the plane with a small doubling property. (English) Zbl 0979.11018 Deshouillers, Jean-Marc (ed.) et al., Structure theory of set addition. Paris: Société Mathématique de France, Astérisque. 258, 217-240 (1999). Reviewer: Ekkehard Krätzel (Wien) MSC: 11B75 11P99 05D05 × Cite Format Result Cite Review PDF
Lev, Vsevolod F. The structure of multisets with a small volume of subset sums. (English) Zbl 0969.11005 Deshouillers, Jean-Marc (ed.) et al., Structure theory of set addition. Paris: Société Mathématique de France, Astérisque. 258, 179-186 (1999). Reviewer: Tibor Šalát (Bratislava) MSC: 11B25 11P99 11B75 × Cite Format Result Cite Review PDF
Gouliaev, V. I.; Zavrazhina, T. V. Universal similarities of transition to chaos of satellite oscillation in elliptic orbit. (English) Zbl 0893.70016 Int. J. Non-Linear Mech. 33, No. 2, 215-226 (1998). MSC: 70M20 70K50 37J40 × Cite Format Result Cite Review PDF Full Text: DOI
Stanchescu, Yonutz On the structure of sets with small doubling property on the plane. I. (English) Zbl 0885.11018 Acta Arith. 83, No. 2, 127-141 (1998). Reviewer: Y.Stanchescu (Tel Aviv) MSC: 11B13 11B83 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Kapitaniak, T. Analytical explanation of the phenomena of loss of chaos in noisy systems. (English) Zbl 0797.70016 Zag. Drgań Nieliniowych 25, 173-178 (1993). MSC: 70K50 70L05 × Cite Format Result Cite Review PDF
Umeki, Makoto Lagrangian motion of fluid particles induced by three-dimensional standing surface waves. (English) Zbl 0763.76013 Phys. Fluids, A 4, No. 9, 1968-1978 (1992). MSC: 76B15 37D45 37C70 × Cite Format Result Cite Review PDF Full Text: DOI
Christiansen, Freddy; Cvitanović, Predrag; Rugh, Hans Henrik The spectrum of the period-doubling operator in terms of cycles. (English) Zbl 0715.58032 J. Phys. A, Math. Gen. 23, No. 14, L713S-L717S (1990). MSC: 37A30 37J40 × Cite Format Result Cite Review PDF Full Text: DOI Link
Li, G. X.; Rand, R. H.; Moon, F. C. Bifurcations and chaos in a forced zero-stiffness impact oscillator. (English) Zbl 0714.73049 Int. J. Non-Linear Mech. 25, No. 4, 417-432 (1990). MSC: 74H45 70K50 74M20 34C23 × Cite Format Result Cite Review PDF Full Text: DOI
Artuso, Roberto; Aurell, Erik; Cvitanović, Predrag Recycling of strange sets. I: Cycle expansions. II: Applications. (English) Zbl 0702.58064 Nonlinearity 3, No. 2, 325-359, 361-386 (1990). Reviewer: P.Bajaj MSC: 37J40 37D45 × Cite Format Result Cite Review PDF Full Text: DOI
Cvitanović, Predrag (ed.) [Streater, R. F.] Universality in chaos. A reprint selection compiled and introduced by Predrag Cvitanović. (Consultant editor: R. F. Steater). 2nd ed. (English) Zbl 0683.58004 Bristol etc.: Adam Hilger. 632 p. £45.00/hbk; £15.00/pbk (1989). MSC: 58-06 00Bxx 37D45 39A12 00A69 01A75 00A79 37G99 37J40 37C10 × Cite Format Result Cite Review PDF
Germain, Paul (ed.); Piau, Monique (ed.); Caillerie, Denis (ed.) Theoretical and applied mechanics. Proceedings of the XVIIth international congress of theoretical and applied mechanics, held in Grenoble, France, 21-27 August, 1988. (English) Zbl 0686.73001 International Union of Theoretical and Applied Mechanics (IUTAM). Amsterdam etc.: North-Holland. xxxix, 454 p. $ 144.75; Dfl 275.00 (1989). Reviewer: M.N.L.Narasimhan MSC: 74-06 76-06 86-06 70K50 76Exx 74R99 37G99 35B32 37D45 76T99 74Cxx 74L10 76U05 76F99 74L05 74H55 × Cite Format Result Cite Review PDF
Los, Jérôme E. Dédoublement de courbes invariantes sur le cylindre: petits diviseurs. (Small divisors phenomena in an invariant curve doubling bifurcation on a cylinder). (French) Zbl 0667.58045 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 5, No. 1, 37-95 (1988). MSC: 37G99 37J40 37C80 × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML
Liu, Zhengrong; Zhou, Shigang; Liu, Erning A method to calculate period doubling bifurcation. (English) Zbl 0637.34036 Appl. Math. Mech., Engl. Ed. 8, 667-671 (1987). Reviewer: O.Arino MSC: 34C25 × Cite Format Result Cite Review PDF Full Text: DOI
Rudowski, J.; Szemplińska-Stupnicka, W. On an approximate criterion for chaotic motion in a model of a buckled beam. (English) Zbl 0606.73044 Ing.-Arch. 57, 243-255 (1987). MSC: 74G60 74K10 37D45 × Cite Format Result Cite Review PDF Full Text: DOI Link
Holmes, Philip Knotted periodic orbits in suspensions of Smale’s horseshoe: period multiplying and cabled knots. (English) Zbl 0623.58014 Physica D 21, 7-41 (1986). MSC: 37G99 37J40 × Cite Format Result Cite Review PDF Full Text: DOI
Yoshida, Atsushi; Hart, John E. A numerical study of baroclinic chaos. (English) Zbl 0616.76056 Geophys. Astrophys. Fluid Dyn. 37, 1-56 (1986). MSC: 76E20 76E15 76M99 × Cite Format Result Cite Review PDF Full Text: DOI
Szczygielski, W.; Schweitzer, G. Dynamics of a high-speed rotor touching a boundary. (English) Zbl 0606.70006 Dynamics of multibody systems, IUTAM/IFToMM Symp., Udine/Italy 1985, 287-298 (1986). MSC: 70E05 70F05 70K20 70-08 70K40 70K50 × Cite Format Result Cite Review PDF