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Allaart, Pieter C.

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Author ID: allaart.pieter-c Recent zbMATH articles by "Allaart, Pieter C."
Published as: Allaart, Pieter C.; Allaart, Pieter; Allaart, P. C.
External Links: MGP
Documents Indexed: 49 Publications since 1997

Publications by Year

Citations contained in zbMATH Open

34 Publications have been cited 162 times in 103 Documents Cited by Year
The Takagi function: a survey. Zbl 1248.26007
Allaart, Pieter C.; Kawamura, Kiko
36
2012
The improper infinite derivatives of Takagi’s nowhere-differentiable function. Zbl 1202.26009
Allaart, Pieter C.; Kawamura, Kiko
13
2010
Extreme values of some continuous nowhere differentiable functions. Zbl 1086.26004
Allaart, Pieter C.; Kawamura, Kiko
13
2006
Optimal stopping rules for correlated random walks with a discount. Zbl 1071.60026
Allaart, Pieter
7
2004
Optimal stopping rules for directionally reinforced processes. Zbl 0988.60039
Allaart, Pieter; Monticino, Michael
7
2001
On univoque and strongly univoque sets. Zbl 1362.11074
Allaart, Pieter C.
6
2017
How large are the level sets of the Takagi function? Zbl 1256.26002
Allaart, Pieter C.
6
2012
The finite cardinalities of level sets of the Takagi function. Zbl 1234.26007
Allaart, Pieter C.
5
2012
On the continuity of the Hausdorff dimension of the univoque set. Zbl 07103850
Allaart, Pieter; Kong, Derong
5
2019
A general ‘bang-bang’ principle for predicting the maximum of a random walk. Zbl 1225.60068
Allaart, Pieter
5
2010
The infinite derivatives of Okamoto’s self-affine functions: an application of \(\beta\)-expansions. Zbl 1350.26006
Allaart, Pieter C.
5
2016
An invariant-sum characterization of Benford’s law. Zbl 0874.60016
Allaart, Pieter C.
5
1997
Optimal buy/sell rules for correlated random walks. Zbl 1136.60028
Allaart, Pieter; Monticino, Michael
5
2008
On a flexible class of continuous functions with uniform local structure. Zbl 1161.26003
Allaart, Pieter C.
4
2009
Distribution of the maxima of random Takagi functions. Zbl 1199.28011
Allaart, P. C.
4
2008
An inequality for sums of binary digits, with application to Takagi functions. Zbl 1223.26018
Allaart, Pieter C.
4
2011
Bifurcation sets arising from non-integer base expansions. Zbl 1435.11102
Allaart, Pieter; Baker, Simon; Kong, Derong
4
2019
Level sets of signed Takagi functions. Zbl 1313.26008
Allaart, P. C.
3
2013
Differentiability and Hölder spectra of a class of self-affine functions. Zbl 1391.28004
Allaart, Pieter C.
3
2018
Differentiability of a two-parameter family of self-affine functions. Zbl 1373.28005
Allaart, Pieter C.
3
2017
Pseudo-prophet inequalities in average-optimal stopping. Zbl 1125.60304
Allaart, Pieter; Monticino, Michael
3
2003
Dimensions of the coordinate functions of space-filling curves. Zbl 1125.54017
Allaart, Pieter C.; Kawamura, Kiko
2
2007
An algebraic approach to entropy plateaus in non-integer base expansions. Zbl 07107987
Allaart, Pieter C.
2
2019
An application of prophet regions to optimal stopping with a random number of observations. Zbl 1075.60036
Allaart, Pieter C.
2
2004
A sharp nonconvexity bound for partition ranges of vector measures with atoms. Zbl 0955.28005
Allaart, Pieter C.
1
1999
Prophet inequalities for I.I.D. random variables with random arrival times. Zbl 1136.60027
Allaart, Pieter C.
1
2007
A sharp ratio inequality for optimal stopping when only record times are observed. Zbl 1183.62137
Allaart, Pieter C.
1
2009
A sharp lower bound for choosing the maximum of an independent sequence. Zbl 1355.60055
Allaart, Pieter C.; Islas, José A.
1
2016
Bounds on the non-convexity of ranges of vector measures with atoms. Zbl 0937.28010
Allaart, Pieter C.
1
1999
Prophet regions for independent \([0,1]\)-valued random variables with random discounting. Zbl 1079.60042
Allaart, Pieter C.
1
2005
Stopping the maximum of a correlated random walk, with cost for observation. Zbl 1068.60060
Allaart, Pieter
1
2004
On the level sets of the Takagi-van der Waerden functions. Zbl 1349.26010
Allaart, Pieter C.
1
2014
Moments of the mean of Dubins-Freedman random probability distributions. Zbl 1025.60006
Allaart, Pieter
1
2003
Relative bifurcation sets and the local dimension of univoque bases. Zbl 07371039
Allaart, Pieter; Kong, Derong
1
2021
Relative bifurcation sets and the local dimension of univoque bases. Zbl 07371039
Allaart, Pieter; Kong, Derong
1
2021
On the continuity of the Hausdorff dimension of the univoque set. Zbl 07103850
Allaart, Pieter; Kong, Derong
5
2019
Bifurcation sets arising from non-integer base expansions. Zbl 1435.11102
Allaart, Pieter; Baker, Simon; Kong, Derong
4
2019
An algebraic approach to entropy plateaus in non-integer base expansions. Zbl 07107987
Allaart, Pieter C.
2
2019
Differentiability and Hölder spectra of a class of self-affine functions. Zbl 1391.28004
Allaart, Pieter C.
3
2018
On univoque and strongly univoque sets. Zbl 1362.11074
Allaart, Pieter C.
6
2017
Differentiability of a two-parameter family of self-affine functions. Zbl 1373.28005
Allaart, Pieter C.
3
2017
The infinite derivatives of Okamoto’s self-affine functions: an application of \(\beta\)-expansions. Zbl 1350.26006
Allaart, Pieter C.
5
2016
A sharp lower bound for choosing the maximum of an independent sequence. Zbl 1355.60055
Allaart, Pieter C.; Islas, José A.
1
2016
On the level sets of the Takagi-van der Waerden functions. Zbl 1349.26010
Allaart, Pieter C.
1
2014
Level sets of signed Takagi functions. Zbl 1313.26008
Allaart, P. C.
3
2013
The Takagi function: a survey. Zbl 1248.26007
Allaart, Pieter C.; Kawamura, Kiko
36
2012
How large are the level sets of the Takagi function? Zbl 1256.26002
Allaart, Pieter C.
6
2012
The finite cardinalities of level sets of the Takagi function. Zbl 1234.26007
Allaart, Pieter C.
5
2012
An inequality for sums of binary digits, with application to Takagi functions. Zbl 1223.26018
Allaart, Pieter C.
4
2011
The improper infinite derivatives of Takagi’s nowhere-differentiable function. Zbl 1202.26009
Allaart, Pieter C.; Kawamura, Kiko
13
2010
A general ‘bang-bang’ principle for predicting the maximum of a random walk. Zbl 1225.60068
Allaart, Pieter
5
2010
On a flexible class of continuous functions with uniform local structure. Zbl 1161.26003
Allaart, Pieter C.
4
2009
A sharp ratio inequality for optimal stopping when only record times are observed. Zbl 1183.62137
Allaart, Pieter C.
1
2009
Optimal buy/sell rules for correlated random walks. Zbl 1136.60028
Allaart, Pieter; Monticino, Michael
5
2008
Distribution of the maxima of random Takagi functions. Zbl 1199.28011
Allaart, P. C.
4
2008
Dimensions of the coordinate functions of space-filling curves. Zbl 1125.54017
Allaart, Pieter C.; Kawamura, Kiko
2
2007
Prophet inequalities for I.I.D. random variables with random arrival times. Zbl 1136.60027
Allaart, Pieter C.
1
2007
Extreme values of some continuous nowhere differentiable functions. Zbl 1086.26004
Allaart, Pieter C.; Kawamura, Kiko
13
2006
Prophet regions for independent \([0,1]\)-valued random variables with random discounting. Zbl 1079.60042
Allaart, Pieter C.
1
2005
Optimal stopping rules for correlated random walks with a discount. Zbl 1071.60026
Allaart, Pieter
7
2004
An application of prophet regions to optimal stopping with a random number of observations. Zbl 1075.60036
Allaart, Pieter C.
2
2004
Stopping the maximum of a correlated random walk, with cost for observation. Zbl 1068.60060
Allaart, Pieter
1
2004
Pseudo-prophet inequalities in average-optimal stopping. Zbl 1125.60304
Allaart, Pieter; Monticino, Michael
3
2003
Moments of the mean of Dubins-Freedman random probability distributions. Zbl 1025.60006
Allaart, Pieter
1
2003
Optimal stopping rules for directionally reinforced processes. Zbl 0988.60039
Allaart, Pieter; Monticino, Michael
7
2001
A sharp nonconvexity bound for partition ranges of vector measures with atoms. Zbl 0955.28005
Allaart, Pieter C.
1
1999
Bounds on the non-convexity of ranges of vector measures with atoms. Zbl 0937.28010
Allaart, Pieter C.
1
1999
An invariant-sum characterization of Benford’s law. Zbl 0874.60016
Allaart, Pieter C.
5
1997
all top 5

Cited by 122 Authors

24 Allaart, Pieter C.
6 Kong, Derong
4 Minabutdinov, A. R.
4 Sumi, Hiroki
3 Berger, Arno
3 Ferrera, Juan
3 Gomez Gil, Javier
3 Hill, Theodore Preston
3 Jaerisch, Johannes
3 Li, Wenxia
3 Schied, Alexander
2 De Amo, Enrique
2 Diaz Carrillo, Manuel
2 Fernández-Sánchez, Juan
2 Fujita, Yasuhiro
2 Ghosh, Arka Prasanna
2 Hamamuki, Nao
2 Kawamura, Kiko
2 Lu, Fan
2 Maddock, Zachary
2 Mishura, Yuliya Stepanivna
2 Osękowski, Adam
2 Roitershtein, Alexander
2 Vorob’ev, A. L.
2 Yam, Sheung Chi Phillip
2 Yamaguchi, Norikazu
2 Yung, Siu Pang
2 Zhou, Wei
1 Agadzhanov, A. N.
1 Alcaraz Barrera, Rafael
1 Appell, Jürgen M.
1 Arthur, C.
1 Bárány, Balázs
1 Baurdoux, Erik Jan
1 Ben Slimane, Mourad
1 Bernal-Gonzàlez, Luis
1 Bhouri, Imen
1 Calka, Pierre
1 Coronado, Tomás M.
1 Couch, PJ
1 Dall’Aglio, Marco
1 Daniel, B. D.
1 Demichel, Yann
1 Dougall, Rhiannon
1 Dubuc, Serge
1 Dumas, Philippe
1 Fischer, Mareike
1 Gaitán, Alejandra
1 Galkin, Oleg Evgen’evich
1 Galkina, Svetlana Yur’evna
1 Georgiou, Nicholas
1 Gordienko, Evgueni I.
1 Grau, José María
1 Herbst, Lina
1 Hoseana, Jonathan
1 Hrušák, Michael
1 Hürlimann, Werner
1 Kalle, Charlene
1 Katzourakis, Nikolaos I.
1 Khosravani, Azar N.
1 Konno, Norio
1 Kwela, Adam
1 Lagarias, Jeffrey C.
1 Lev, Vsevolod F.
1 Li, Haixiong
1 Lijoi, Antonio
1 Liu, Chuntai
1 Llorente, Jesús
1 Lodkin, A. A.
1 Makó, Judit
1 Makogin, Vitalii
1 Manaev, I. E.
1 Mátrai, Tamás
1 McNicholl, Timothy H.
1 Mélot, Clothilde
1 Mena, Ramsés H.
1 Mihailescu, Eugen Gh.
1 Monticino, Michael G.
1 Morrison, Kent E.
1 Nekvinda, Aleš
1 Noren, Steven
1 Novikov, Andreĭ Alekseevich
1 Okamura, Kazuki
1 Osaka, Shoto
1 Pellegrino, Daniel Marinho
1 Prünster, Igor
1 Rams, Michał
1 Rasinariu, Constantin
1 Rastegar, Reza
1 Redtwitz, D. A.
1 Reinwand, Simon
1 Rosselló, Francesc
1 Sáenz, Ricardo A.
1 Seoane-Sepúlveda, Juan Benigno
1 Sheipak, Igor A.
1 Siconolfi, Antonio
1 Simon, Károly
1 Steinerberger, Stefan
1 Tabor, Jacek
1 Tabor, Józef
...and 22 more Authors
all top 5

Cited in 60 Serials

13 Journal of Mathematical Analysis and Applications
7 Monatshefte für Mathematik
5 Advances in Mathematics
5 Journal of Applied Probability
4 Acta Mathematica Hungarica
4 Journal of Mathematical Sciences (New York)
3 Ergodic Theory and Dynamical Systems
2 Moscow University Mathematics Bulletin
2 International Journal of Mathematics and Mathematical Sciences
2 Proceedings of the American Mathematical Society
2 Transactions of the American Mathematical Society
2 Stochastic Analysis and Applications
2 Acta Applicandae Mathematicae
2 Journal of Theoretical Probability
2 Fractals
2 Stochastic Models
1 Communications in Mathematical Physics
1 Journal of Mathematical Biology
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Mathematische Semesterberichte
1 Nonlinearity
1 Mathematics Magazine
1 Acta Arithmetica
1 Applied Mathematics and Computation
1 Functional Analysis and its Applications
1 Kybernetika
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Proceedings of the Japan Academy. Series A
1 Real Analysis Exchange
1 Theoretical Computer Science
1 Topology and its Applications
1 Advances in Applied Mathematics
1 Statistics & Probability Letters
1 Acta Mathematicae Applicatae Sinica. English Series
1 Optimization
1 Sequential Analysis
1 SIAM Journal on Discrete Mathematics
1 Japan Journal of Industrial and Applied Mathematics
1 Stochastic Processes and their Applications
1 Bulletin of the American Mathematical Society. New Series
1 Expositiones Mathematicae
1 Theory of Probability and Mathematical Statistics
1 Journal of Convex Analysis
1 Sbornik: Mathematics
1 Annales Academiae Scientiarum Fennicae. Mathematica
1 Doklady Mathematics
1 Theory of Computing Systems
1 Abstract and Applied Analysis
1 Positivity
1 Fractional Calculus & Applied Analysis
1 Revista Matemática Complutense
1 Statistical Inference for Stochastic Processes
1 Probability in the Engineering and Informational Sciences
1 Nonlinear Analysis. Modelling and Control
1 Miscelánea Matemática
1 Probability Surveys
1 S\(\vec{\text{e}}\)MA Journal
1 Journal of Computational Dynamics
1 Journal of Fractal Geometry
1 SN Partial Differential Equations and Applications

Citations by Year