Jeffrey C. Lagarias

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Decay of a Markov Chain: 10941

Jeffrey C. Lagarias, Thomas Hermann, O. P. Lossers, 2003, Am. Math. Mon..

Apollonian Circle Packings: Geometry and Group Theory III. Higher Dimensions

Jeffrey C. Lagarias, Colin L. Mallows, Ronald L. Graham, 2000, Discret. Comput. Geom..

Threading Homotopies and DC Operating Points of Nonlinear Circuits

Jeffrey C. Lagarias, Ross Geoghegan, Robert C. Melville, 1998, SIAM J. Optim..

On the Density of Sequences of Integers the Sum of No Two of which Is a Square. I. Arithmetic Progressions

Jeffrey C. Lagarias, James B. Shearer, Andrew M. Odlyzko, 1982, J. Comb. Theory, Ser. A.

Korkin-Zolotarev bases and successive minima of a lattice and its reciprocal lattice

Jeffrey C. Lagarias, Claus-Peter Schnorr, Hendrik W. Lenstra, 1990, Comb..

Intersections of Multiplicative Translates of 3-Adic Cantor Sets II: Two Infinite Families

Jeffrey C. Lagarias, William C. Abram, Artem Bolshakov, 2013, Exp. Math..

On the robustness of single-loop sigma-Delta modulation

Jeffrey C. Lagarias, Vinay A. Vaishampayan, C. Sinan Güntürk, 2001, IEEE Trans. Inf. Theory.

Minimax and Hamiltonian Dynamics of Excitatory-Inhibitory Networks

Jeffrey C. Lagarias, H. Sebastian Seung, John J. Hopfield, 1997, NIPS.

The d-Step Conjecture and Gaussian Elimination

Jeffrey C. Lagarias, James A. Reeds, Nagabhushana Prabhu, 1997, Discret. Comput. Geom..

Problem 10822

Jeffrey C. Lagarias, J. Lagarias, 2000, The American mathematical monthly.

One-Way Functions and Circuit Complexity

Jeffrey C. Lagarias, Ravi B. Boppana, J. Lagarias, 1986, Inf. Comput..

The Computational Complexity of Simultaneous Diophantine Approximation Problems

Jeffrey C. Lagarias, 1985, SIAM J. Comput..

Apollonian Circle Packings: Geometry and Group Theory I. The Apollonian Group

Jeffrey C. Lagarias, Colin L. Mallows, Ronald L. Graham, 2000, Discret. Comput. Geom..

Polynomial Time Algorithms for Finding Integer Relations Among Real Numbers

Jeffrey C. Lagarias, Johan Håstad, Claus-Peter Schnorr, 1986, STACS.

A Collinear Scaling Interpretation of Karmarkar's Linear Programming Algorithm

Jeffrey C. Lagarias, 1993, SIAM J. Optim..

The EKG Sequence: 10927

N. J. A. Sloane, Jeffrey C. Lagarias, Eric M. Rains, 2004, Am. Math. Mon..

Acknowledgment of priority concerning: Polytopes that Fill ℝn and scissors congruence

Jeffrey C. Lagarias, D. Moews, 1995, Discret. Comput. Geom..

Solving low density subset sum problems

Jeffrey C. Lagarias, Andrew M. Odlyzko, A. Odlyzko, 1983, 24th Annual Symposium on Foundations of Computer Science (sfcs 1983).

Multi-Stage Planning and the Extended Linear-Quadratic-Gaussian Control Problem

Jeffrey C. Lagarias, F. Aminzadeh, 1983, Math. Oper. Res..

Guest Editors' Foreword

Jeffrey C. Lagarias, Gábor Fejes Tóth, 2006, Discret. Comput. Geom..

An Elementary Problem Equivalent to the Riemann Hypothesis

Jeffrey C. Lagarias, 2002, Am. Math. Mon..

The Ultimate Challenge: The 3x+1 Problem

Jeffrey C. Lagarias, J. Lagarias, 2011 .

Geometric Models for Quasicrystals II. Local Rules Under Isometries

Jeffrey C. Lagarias, J. Lagarias, 1999, Discret. Comput. Geom..

The computational complexity of knot and link problems

Jeffrey C. Lagarias, Nicholas Pippenger, Joel Hass, 1999, JACM.

A Polyomino Tiling Problem of Thurston and Its Configurational Entropy

Jeffrey C. Lagarias, D. S. Romano, J. Lagarias, 1993, J. Comb. Theory, Ser. A.

Minimum range sequences of all k-subsets of a set

Jeffrey C. Lagarias, F. K. Hwang, 1977, Discret. Math..

Mathematical developments arising from linear programming : proceedings of a joint summer research conference held at Bowdoin College, June 25-July 1, 1988

Jeffrey C. Lagarias, Michael J. Todd, M. Todd, 1990 .

The EKG Sequence

N. J. A. Sloane, Jeffrey C. Lagarias, Eric M. Rains, 2002, Exp. Math..

Succinct certificates for the solvability of binary quadratic Diophantine equations

Jeffrey C. Lagarias, J. Lagarias, 1979, 20th Annual Symposium on Foundations of Computer Science (sfcs 1979).

Well-Spaced Labelings of Points in Rectangular Grids

Jeffrey C. Lagarias, 2000, SIAM J. Discret. Math..

One-Way Functions and Circuit Complexity

Jeffrey C. Lagarias, Ravi B. Boppana, 1987, Inf. Comput..

Interference-Minimizing Colorings of Regular Graphs

Jeffrey C. Lagarias, Peter C. Fishburn, J. H. Kim, 1998, SIAM J. Discret. Math..

Pinwheel Scheduling: Achievable Densities

Jeffrey C. Lagarias, Peter C. Fishburn, 2002, Algorithmica.

Dilated Floor Functions That Commute

Jeffrey C. Lagarias, Takumi Murayama, D. Harry Richman, 2016, ArXiv.

Wild and Wooley Numbers

Jeffrey C. Lagarias, 2006, Am. Math. Mon..

A walk along the branches of the extended Farey Tree

Jeffrey C. Lagarias, Charles Philippe Tresser, C. Tresser, 1995, IBM J. Res. Dev..

A Generous Bound for Divisor Sums: 10949

Jeffrey C. Lagarias, Walther Janous, J. Lagarias, 2004, The American mathematical monthly.

The computational complexity of knot and link problems

Jeffrey C. Lagarias, Nicholas Pippenger, Joel Hass, 1997, Proceedings 38th Annual Symposium on Foundations of Computer Science.

Counting d -Step Paths in Extremal Dantzig Figures

Jeffrey C. Lagarias, Nagabhushana Prabhu, J. Lagarias, 1998, Discret. Comput. Geom..

Polytopes that Fill Rn and Scissors Congruence

Jeffrey C. Lagarias, David Moews, J. Lagarias, 1995, Discret. Comput. Geom..

Singularities of Minimal Surfaces and Networks and Related Extremal Problems in Minkowski Space

Zoltán Füredi, Jeffrey C. Lagarias, Frank Morgan, 1990, Discrete and Computational Geometry.

Unique Extrapolation of Polynomial Recurrences

Jeffrey C. Lagarias, James A. Reeds, J. Reeds, 1988, SIAM J. Comput..

Worst-Case Complexity Bounds for Algorithms in the Theory of Integral Quadratic Forms

Jeffrey C. Lagarias, J. Lagarias, 1980, J. Algorithms.

The Distribution of 3x+1 Trees

Jeffrey C. Lagarias, David Applegate, 1995, Exp. Math..

Problem 11390

Jeffrey C. Lagarias, 2008, Am. Math. Mon..

Approximate Squaring

N. J. A. Sloane, Jeffrey C. Lagarias, N. Sloane, 2003, Exp. Math..

The computational complexity of simultaneous Diophantine approximation problems

Jeffrey C. Lagarias, J. Lagarias, J. C. Lagarias, 1982, 23rd Annual Symposium on Foundations of Computer Science (sfcs 1982).

Convergence of the Restricted Nelder-Mead Algorithm in Two Dimensions

Jeffrey C. Lagarias, Margaret H. Wright, Bjorn Poonen, 2011, SIAM J. Optim..

Advanced Problems: 6661-6663

Jeffrey C. Lagarias, Thomas Zaslavsky, Walther Janous, 1991 .

Karmarkar's linear programming algorithm and Newton's method

Jeffrey C. Lagarias, D. A. Bayer, D. Bayer, 1991, Math. Program..

A Course in Number Theory and Cryptography (Neil Koblitz)

Jeffrey C. Lagarias, 1989, SIAM Rev..

Tiling with polyominoes and combinatorial group theory

Jeffrey C. Lagarias, John H. Conway, J. Lagarias, 1990, J. Comb. Theory, Ser. A.

When Periodic Points Are Real: 10822

et al., Jeffrey C. Lagarias, Jade P. Vinson, 2001, Am. Math. Mon..

Problem 10927

N. J. A. Sloane, Jeffrey C. Lagarias, Eric M. Rains, 2002, Am. Math. Mon..

Algorithms for Packing Squares: A Probabilistic Analysis

Jeffrey C. Lagarias, Edward G. Coffman, 1989, SIAM J. Comput..

Beyond the Descartes Circle Theorem

Jeffrey C. Lagarias, Colin L. Mallows, Allan R. Wilks, 2001, Am. Math. Mon..

On Lasker's card game

Jeffrey C. Lagarias, Jeff Kahn, H. S. Witsenhausen, 1989 .

On the Density of Sequences of Integers the Sum of No Two of Which Is a Square II. General Sequences

Jeffrey C. Lagarias, James B. Shearer, Andrew M. Odlyzko, 1983, J. Comb. Theory, Ser. A.

Performance Analysis of Shamir's Attack on the Basic Merkle-Hellman Knapsack Cryptosystem

Jeffrey C. Lagarias, J. Lagarias, 1984, ICALP.

Products of Farey Fractions

Jeffrey C. Lagarias, Harsh Mehta, 2017, Exp. Math..

On the Normality of Arithmetical Constants

Jeffrey C. Lagarias, 2001, Exp. Math..

Evaluation of the Adleman Attack on Multiply Iterated Knapsack Cryptosystems

Jeffrey C. Lagarias, Ernest F. Brickell, Andrew M. Odlyzko, 1983, CRYPTO.

The Parameter Space of the d-step Conjecture

Jeffrey C. Lagarias, James A. Reeds, Nagabhushana Prabhu, 1996, Foundations of Software Technology and Theoretical Computer Science.

Knapsack Public Key Cryptosystems and Diophantine Approximation

Jeffrey C. Lagarias, J. Lagarias, 1983, CRYPTO.

Single-Suit Two-Person Card Play III. The Misère Game

Jeffrey C. Lagarias, Jeff Kahn, Hans S. Witsenhausen, 1989, SIAM J. Discret. Math..

Bounds for Local Density of Sphere Packings and the Kepler Conjecture

Jeffrey C. Lagarias, J. Lagarias, 2000, Discret. Comput. Geom..

Problem 10941

Jeffrey C. Lagarias, 2002, Am. Math. Mon..

Sets uniquely determined by projections on axes II Discrete case

Jeffrey C. Lagarias, Peter C. Fishburn, Larry A. Shepp, 1991, Discret. Math..

Problem 11389

Jeffrey C. Lagarias, Elizabeth R. Chen, Jeffrey C. Lagarias, 2008, Am. Math. Mon..

Reconstructing Truncated Integer Variables Satisfying Linear Congruences

Alan M. Frieze, Jeffrey C. Lagarias, Adi Shamir, 1988, SIAM J. Comput..

Multiregular Point Systems

Jeffrey C. Lagarias, Marjorie Senechal, Nikolai P. Dolbilin, 1998, Discret. Comput. Geom..

Solving Low-Density Subset Sum Problems

Jeffrey C. Lagarias, Andrew M. Odlyzko, 1983, FOCS.

Power series variants of Karmarkar-type algorithms

Jeffrey C. Lagarias, Lev Slutsman, Narendra K. Karmarkar, 1989, AT&T Technical Journal.

Problem 10949

Jeffrey C. Lagarias, 2002, Am. Math. Mon..

On Sets of Integers Which Are Both Sum-Free and Product-Free

Jeffrey C. Lagarias, Carl Pomerance, Par Kurlberg, 2012, Integers.

Lower bounds for the total stopping time of 3x + 1 iterates

Jeffrey C. Lagarias, David Applegate, J. Lagarias, 2001, Math. Comput..

Cryptology and Computational Number Theory

Jeffrey C. Lagarias, Shafi Goldwasser, Arjen K. Lenstra, 1997 .

Substitution Delone Sets

Jeffrey C. Lagarias, Yang Wang, 2003, Discret. Comput. Geom..

Counting dyadic equipartitions of the unit square

Jeffrey C. Lagarias, Joel H. Spencer, Jade P. Vinson, 2002, Discret. Math..

Processor Shadowing: Maximizing Expected Throughput in Fault-Tolerant Systems

Jeffrey C. Lagarias, Edward G. Coffman, John L. Bruno, 1999, Math. Oper. Res..

On the Tightest Packing of Sums of Vectors

Jeffrey C. Lagarias, Jerrold R. Griggs, James B. Shearer, 1983, Eur. J. Comb..

Erratum: Polynomial Time Algorithms for Finding Integer Relations Among Real Numbers

Jeffrey C. Lagarias, Johan Håstad, Claus-Peter Schnorr, 2014, SIAM J. Comput..

Apollonian Circle Packings: Geometry and Group Theory II. Super-Apollonian Group and Integral Packings

Jeffrey C. Lagarias, Colin L. Mallows, Ronald L. Graham, 2006, Discret. Comput. Geom..

Self-packing of centrally symmetric convex bodies in ℝ2

Jeffrey C. Lagarias, Dana Randall, P. G. Doyle, 1992, Discret. Comput. Geom..

Minimal Storage Representations for Binary Relations

Jeffrey C. Lagarias, Donald E. Swartwout, J. C. Lagarias, 1982, Inf. Process. Lett..

Very Composite Numbers: 11334 [2008, 71]

Jeffrey C. Lagarias, Byron Schmuland, Jonathan Bober, 2009, Am. Math. Mon..

Geometric Models for Quasicrystals I. Delone Sets of Finite Type

Jeffrey C. Lagarias, J. Lagarias, 1999, Discret. Comput. Geom..

On the space requirements of navigational relationship representations

Jeffrey C. Lagarias, Donald E. Swartwout, 1981, SIGMOD '81.

On the Capacity of Disjointly Shared Networks

Jeffrey C. Lagarias, Don Zagier, Andrew M. Odlyzko, 1986, Comput. Networks.

Path sets in one-sided symbolic dynamics

Jeffrey C. Lagarias, William Abram, J. Lagarias, 2012, Adv. Appl. Math..

Problem 11334

Jeffrey C. Lagarias, Jonathan Bober, 2008, Am. Math. Mon..

Problem 11355

Jeffrey C. Lagarias, 2008, Am. Math. Mon..

Moser's Shadow Problem pdf

Jeffrey C. Lagarias, Yusheng Luo, J. Lagarias, 2013, L’Enseignement Mathématique.

Cube-Tilings of Rn and Nonlinear Codes

Jeffrey C. Lagarias, Peter W. Shor, 1994, Discret. Comput. Geom..

Convergence Properties of the Nelder-Mead Simplex Method in Low Dimensions

Jeffrey C. Lagarias, Margaret H. Wright, James A. Reeds, 1998, SIAM J. Optim..

Polynomial Time Algorithms for Finding Integer Relations Among Real Numbers

Jeffrey C. Lagarias, Johan Håstad, Claus-Peter Schnorr, 1989, STACS.

Partial factorizations of products of binomial coefficients

Jeffrey C. Lagarias, Lara Du, 2021, International Journal of Number Theory.

Interleaving of path sets

Jeffrey C. Lagarias, William C. Abram, Daniel Slonim, 2021, 2101.02441.

Problems in number theory related to aperiodic order

Jeffrey C. Lagarias, 2021 .

Decimation and interleaving operations in one-sided symbolic dynamics

Jeffrey C. Lagarias, William C. Abram, Daniel J. Slonim, 2021, Adv. Appl. Math..

Path Sets and their Symbolic Dynamics

Jeffrey C. Lagarias, William C. Abram, 2012 .

Complements to Li's Criterion for the Riemann Hypothesis☆

Jeffrey C. Lagarias, Enrico Bombieri, J. Lagarias, 1999 .

Haar Type Orthonormal Wavelet Bases in R2

Jeffrey C. Lagarias, Yang Wang, J. Lagarias, 1995 .

Keller’s cube-tiling conjecture is false in high dimensions

Jeffrey C. Lagarias, Peter W. Shor, 1992 .

Spectral Sets and Factorizations of Finite Abelian Groups

Jeffrey C. Lagarias, Yang Wang, J. Lagarias, 1997 .

Area Inequalities for Embedded Disks Spanning Unknotted Curves

Jeffrey C. Lagarias, Joel Hass, William P. Thurston, 2003, math/0306313.

Computing n(X) the meissel-lehmer method

Jeffrey C. Lagarias, Andrew Odlyzko, V. S. Miller, 1985 .

Tiling the line with translates of one tile

Jeffrey C. Lagarias, Yang Wang, J. Lagarias, 1996 .

Simultaneous Diophantine approximation of rationals by rationals

Jeffrey C. Lagarias, Johan Håstad, 1986 .

Best simultaneous Diophantine approximations. II. Behavior of consecutive best approximations

Jeffrey C. Lagarias, J. Lagarias, 1982 .

New algorithms for computing π(x)

Jeffrey C. Lagarias, Andrew Odlyzko, A. Odlyzko, 1984 .

Linear fractional transformations of continued fractions with bounded partial quotients

Jeffrey Shallit, Jeffrey C. Lagarias, 1997 .

The Takagi function and its properties (Functions in Number Theory and Their Probabilistic Aspects)

Jeffrey C. Lagarias, J. Lagarias, 2011, 1112.4205.

The Kepler Conjecture and Its Proof

Jeffrey C. Lagarias, J. Lagarias, 2011 .

Optimal pairs of score vectors for positional scoring rules

Jeffrey C. Lagarias, Peter C. Fishburn, W. V. Gehrlein, 1982 .

Apollonian Circle Packings : Geometry and Group Theory

Jeffrey C. Lagarias, Colin L. Mallows, Ronald L. Graham, 2005 .

On the computational complexity of determining the solvability or unsolvability of the equation ²-²=-1

Jeffrey C. Lagarias, J. Lagarias, 1980 .

Bounds for Lattice Polytopes Containing a Fixed Number of Interior Points in a Sublattice

Jeffrey C. Lagarias, Günter M. Ziegler, G. Ziegler, 1991, Canadian Journal of Mathematics.

Bounds for the number of DC operating points of transistor circuits

Jeffrey C. Lagarias, Ljiljana Trajkovic, L. Trajković, 1999 .

Probabilities for intersecting systems and random subsets of finite sets

Jeffrey C. Lagarias, Peter C. Fishburn, Peter Frankl, 1986 .

Configuration spaces of equal spheres touching a given sphere: The twelve spheres problem

Jeffrey C. Lagarias, Senya Shlosman, Rob Kusner, 2016, 1611.10297.

Self-affine tiles in ℝn

Jeffrey C. Lagarias, Yang Wang, J. Lagarias, 1996 .

The computational complexity of simultaneous Diophantine approximation problems

Jeffrey C. Lagarias, 1982, FOCS 1982.

The 3x + 1 Problem: an Annotated Bibliography

Jeffrey C. Lagarias, J. Lagarias, J. C. Lagarias, 2006 .

Asymmetric tent map expansions II. Purely periodic points

Jeffrey C. Lagarias, H. A. Porta, K. B. Stolarsky, 1994 .

An Elementary Problem Equivalent to the Riemann Hypothesis

Jeffrey C. Lagarias, 2002 .

Haar Bases for L 2 (R n ) and Algebraic Number Theory

Jeffrey C. Lagarias, Yang Wang, 1996 .

Meyer's concept of quasicrystal and quasiregular sets

Jeffrey C. Lagarias, J. Lagarias, 1996 .

On computing artin l-functions in the critical strip

Jeffrey C. Lagarias, Andrew M. Odlyzko, A. Odlyzko, 1979 .

The zeta function of the beta transformation

Jeffrey C. Lagarias, Bjorn Poonen, Leopold Flatto, 1994, Ergodic Theory and Dynamical Systems.

Multivariate descartes rule of signs and sturmfels’s challenge problem

Jeffrey C. Lagarias, Tom J. Richardson, J. Lagarias, 1997 .

Dynamics of a family of piecewise-linear area-preserving plane maps III. Cantor set spectra

Jeffrey C. Lagarias, Eric Rains, 2005 .

The 3x + 1 Problem and its Generalizations

Jeffrey C. Lagarias, J. Lagarias, 1985 .

Haar Bases forL2(Rn) and Algebraic Number Theory

Jeffrey C. Lagarias, Yang Wang, 1996 .

The 3x+1 problem: An annotated bibliography (1963--1999)

Jeffrey C. Lagarias, J. Lagarias, 2003 .

The quality of the Diophantine approximations found by the Jacobi-Perron algorithm and related algorithms

Jeffrey C. Lagarias, J. Lagarias, 1993 .

Apollonian circle packings: Number theory II. Spherical and hyperbolic packings

Jeffrey C. Lagarias, Nicholas Eriksson, 2004 .

Erratum to: Errata The Kepler Conjecture: The Hales-Ferguson Proof

Jeffrey C. Lagarias, 2012 .

Dynamics of a family of piecewise-linear area-preserving plane maps II. Invariant circles

Jeffrey C. Lagarias, Eric M. Rains, 2003 .

On the distribution in short intervals of integers having no large prime factor

Jeffrey C. Lagarias, John B. Friedlander, 1987 .

p-adic path set fractals

Jeffrey C. Lagarias, William C. Abram, 2012 .

THE 3x + 1 PROBLEM: TWO STOCHASTIC MODELS

Jeffrey C. Lagarias, J. Lagarias, A. Weiss, 1992 .

Asymmetric Tent Map Expansions. I. Eventually Periodic Points

Jeffrey C. Lagarias, H. A. Porta, K. B. Stolarsky, 1993 .

Corrigendum and Addendum to: Haar Bases for L^2(R^n) and Algebraic Number Theory

Jeffrey C. Lagarias, Yang Wang, 1998 .

Best simultaneous Diophantine approximations. I. Growth rates of best approximation denominators

Jeffrey C. Lagarias, J. Lagarias, 1982 .

The 3x+1 Problem: An Overview

Jeffrey C. Lagarias, J. Lagarias, 2021, 2111.02635.