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Martin Sleziak
Martin Sleziak
4:54 AM
9
A: On (gcd) and (greatest-common-divisor) and other similar tags

quidI propose a tag gcd-and-lcm to be created into which gcd, lcm, greatest- common-divisor etc. are mapped. On the one hand, the notion of GCD (and related) is relevant and wide-spread enough to merit a tag beyond the very general divisibility. On the other hand, the notions GCD and LCM are very ...

@quid I'll just point out that the recent post in the tag management thread is related to your proposal back from 2015.
 
 
12 hours later…
Martin Sleziak
Martin Sleziak
4:38 PM
new-tag A new tag renewal-processes was created by Yanior Weg. It already has 21 questions. The same user created a tag excerpt
1
Q: Renewal for Levy Processes

Yanior WegSuppose $X(t)$ is a Levy process with almost surely positive increments (for all $t_1 < t_2$ $P(X(t_1) < X(t_2)) = 1$) Define $$\nu X(t) := \sup \{\tau \in \mathbb{R}| X(\tau) < t\}$$ It is not hard to see, that $\nu X$ is also a stochastic process with almost surely positive increments. My q...

probability probability-theory stochastic-processes levy-processes renewal-processes
Renewal theory
Renewal theory is the branch of probability theory that generalizes compound Poisson process for arbitrary holding times. Applications include calculating the best strategy for replacing worn-out machinery in a factory (example below) and comparing the long-term benefits of different insurance policies. == Renewal processes == === Introduction === The renewal process is a generalization of the compound Poisson process. In essence, the Poisson process is a continuous-time Markov process on the positive integers (usually starting at zero) which has independent identically distributed holding times...
new-tag A [new tag] hadamard-spaces created by Omojola Micheal.
0
Q: Let $ (X,d) $ be a Hadamard space, then $ \omega- $convergence implies $ \Delta- $convergence.

Omojola Micheal Let $ (X,d) $ be a Hadamard space, then $ \omega- $convergence implies $ \Delta- $convergence. The proof can be found in Kakavandi and Amini, but a slightly different proof is given here. Assume that $ \{x_{n}\}_{n\in \mathbb{N}}\subset X, $ is $ \omega- $convergent to $ x\in X. $ Let $ \e...

weak-convergence fixed-point-theorems fixedpoints hadamard-spaces
Hadamard space
In geometry, an Hadamard space, named after Jacques Hadamard, is a non-linear generalization of a Hilbert space. In the literature they are also equivalently defined as complete CAT(0) spaces. A Hadamard space is defined to be a nonempty complete metric space such that, given any points x, y, there exists a point m such that for every point z, d ( z , m ) 2 + d ( x , y...
 

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