All of this discussion seems to be framed conveniently (for CS/modeling types) as Sequential Dynamical Systems:

https://en.wikipedia.org/wiki/Sequential_dynamical_system

On 11/28/21 8:49 PM, Marcus Daniels wrote:

Can’t the delay be in arbitrarily-small discretized units (e.g. picoseconds) if needed?

On Nov 28, 2021, at 7:15 PM, Frank Wimberly <[email protected]> wrote:


By the way an example of a cycle with no delay, unless time isn't continuous, is a pair of ladders leaning against each other so that neither falls.  That violates assumptions of our causal discovery algorithms.

---
Frank C. Wimberly
140 Calle Ojo Feliz,
Santa Fe, NM 87505

505 670-9918
Santa Fe, NM

On Sun, Nov 28, 2021, 7:57 PM Frank Wimberly <[email protected]> wrote:

    An element of a (very short) cycle.  Note that there has to be a
    delay.

    ---
    Frank C. Wimberly
    140 Calle Ojo Feliz,
    Santa Fe, NM 87505

    505 670-9918
    Santa Fe, NM

    On Sun, Nov 28, 2021, 7:44 PM <[email protected]> wrote:

        Frank,

        In your lingo, what is an effect called that feeds back on
        its cause?

        Nick Thompson

        [email protected] <mailto:[email protected]>

        https://wordpress.clarku.edu/nthompson/
        <https://wordpress.clarku.edu/nthompson/>

        *From:* Friam <[email protected]> *On Behalf Of
        *Frank Wimberly
        *Sent:* Sunday, November 28, 2021 7:15 PM
        *To:* The Friday Morning Applied Complexity Coffee Group
        <[email protected]>
        *Subject:* Re: [FRIAM] The epiphenomenality relation

        Yes, for example.

        ---
        Frank C. Wimberly
        140 Calle Ojo Feliz,
        Santa Fe, NM 87505

        505 670-9918
        Santa Fe, NM

        On Sun, Nov 28, 2021, 6:06 PM Marcus Daniels
        <[email protected]> wrote:

            I guess you mean A(t=0)->B(t=1), B(t=1)->A(t=2), not
            B(t=1)->A(t=0)

            *From:* Friam <[email protected]> *On Behalf Of
            *Frank Wimberly
            *Sent:* Sunday, November 28, 2021 3:46 PM
            *To:* The Friday Morning Applied Complexity Coffee Group
            <[email protected]>
            *Subject:* Re: [FRIAM] The epiphenomenality relation

            I did a number of experiments in the use of causal
            learning methods to infer genetic regulatory networks
            using actual and simulated data.  Those networks have
            loops of a variety of lengths. References available upon
            request.

            ---
            Frank C. Wimberly
            140 Calle Ojo Feliz,
            Santa Fe, NM 87505

            505 670-9918
            Santa Fe, NM

            On Sun, Nov 28, 2021, 4:41 PM Marcus Daniels
            <[email protected]> wrote:

                I just don't see how that is a "loop" except that
                repeated application of such a matrix could lead to
                oscillation. It sounded like somehow causality was
                violated and not just obscured.

                -----Original Message-----
                From: Friam <[email protected]> On Behalf Of
                ? glen
                Sent: Sunday, November 28, 2021 3:38 PM
                To: The Friday Morning Applied Complexity Coffee
                Group <[email protected]>
                Subject: Re: [FRIAM] The epiphenomenality relation

                Right, high dimension. More important than the matrix
                being large is that it has non-zero cross terms.

                On November 28, 2021 8:42:37 AM PST, Marcus Daniels
                <[email protected]> wrote:
                >The operators are large (in the sense of a matrix)
                whether or not they are intended to be?
                >
                >> On Nov 28, 2021, at 6:20 AM, ⛧ glen
                <[email protected]> wrote:
                >>
                >> Any of the evolutionary operators across scales,
                from energy exchange at the finest to ecosystem
                reengineering at the coarsest.
                >>
                >>> On November 27, 2021 7:33:15 AM PST, Marcus
                Daniels <[email protected]> wrote:
                >>> I’ve heard these words from you Glen, but I have
                no idea what these loops are or what you might be
                talking about.
                >>>
-- glen ⛧


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