Will the connective constant of any new lattice be known by the end of June 2031?
4
130Ṁ342031
64%
chance
1H
6H
1D
1W
1M
ALL
The connective constant of a lattice is defined as the limit as n approaches infinity of cₙ^(1/n), where cₙ is the number of n-step self-avoiding walks on the lattice.
Currently, the exact values of the connective constant are only known for two lattices: For the hexagonal lattice, it is √(2+√2), and for a related lattice called the (3.12²) lattice, it's equal to the largest real root of a certain polynomial.
Will there be any other lattice for which the exact value of the connective constant is proven?
This question is managed and resolved by Manifold.
Get 
1,000 to start trading!
1,000People are also trading
Related questions
Will we know if there is an infinite cluster for critical bond percolation on the 3D integer lattice by 2035?
52% chance
Will lattice confinement fusion ever generate net energy before 2100?
5% chance
Will Conjecture have dissolved by 2028?
77% chance
Will a new element be discovered before the end of 2025?
10% chance
Will element 119 be discovered by the end of 2030?
36% chance
Will a new fundamental physical force be discovered by January 1, 2040?
13% chance
Will String Theory have experimental validation by 2050?
7% chance
Will element 119 “Ununennium” be discovered before 2030?
40% chance
Will glueballs be definitively observed experimentally by the end of 2035?
57% chance
Will the Collatz conjecture be resolved by the end of the decade (11:59, 31 December 2029)?
16% chance